PRICING SUPPLEMENT NO. 36A                                        Rule 424(b)(3)
DATED:  October 1, 2004 +                                    File No. 333-109793
        October 21, 3004 ++
(To Prospectus dated November 17, 2003, and
Prospectus Supplement dated November 17, 2003)

                                 $10,668,950,162
                         THE BEAR STEARNS COMPANIES INC.
                           Medium-Term Notes, Series B
                           --------------------------

                          Bear Extendible Notes (BENs)


      The floating rate Bear Extendible Notes described in this Pricing
Supplement, which we refer to as the BENs, will mature on the initial maturity
date, unless the maturity of all or any portion of the principal amount of the
BENs is extended in accordance with the procedures described below. In no event
will the maturity of the BENs be extended beyond the final maturity date.

      During the notice period for each election date, you may elect to extend
the maturity of all or any portion of the principal amount of your BENs so that
the maturity of your BENs will be extended for 1 additional year to the October
6th occurring 2 years from and including such election date. However, if that
October 6th is not a Business Day, the maturity of your BENs will be extended to
the following Business Day. The election dates will be annually on the 6th day
of October in 2005, 2006 and 2007, whether or not any such day is a Business
Day.

      You may elect to extend the maturity of all of your BENs or of any portion
thereof having a principal amount of $25,000 or any multiple of $1,000 in excess
thereof. To make your election effective on any election date, you must deliver
a notice of election during the notice period for that election date. The notice
period for each election date will begin on the 5th Business Day prior to the
election date and end on the election date; however, if that election date is
not a Business Day, the notice period will be extended to the following Business
Day. Your notice of election must be delivered to the Trustee for the BENs,
through the normal clearing system channels described in more detail below, no
later than the last Business Day of the notice period. Upon delivery to the
Trustee of a notice of election to extend the maturity of the BENs or any
portion thereof during a notice period, that election will be revocable during
each day of such notice period, until 12:00 noon (New York City time) on the
last Business Day in such notice period, at which time such notice will become
irrevocable.

      If on any election date you do not make an election to extend the maturity
of all or any portion of the principal amount of your BENs, the principal amount
of the BENs for which you have failed to make such an election will become due
and payable on the initial maturity date, or any later date to which the
maturity of your BENs has previously been extended. The principal amount of the
BENs for which such election is not exercised will be represented by a note
issued on such election date. The new note so issued will have the same terms as
the BENs, except that it will not be extendible, will have a separate CUSIP
number and its maturity date will be on October 6th, 1 year from and including
such election date or, if such day is not a Business Day, the following Business
Day. The failure to elect to extend the maturity of all or any portion of the
BENs will be irrevocable and will be binding upon any subsequent holder of such
BENs.

      The BENs will bear interest from the date of issuance until the principal
amount thereof is paid or made available for payment at a rate determined for
each Interest Reset Period by reference to the Interest Rate Basis, based on the
Index Maturity, plus the applicable Spread for the relevant Interest Reset Date.
We describe how floating rates are determined and calculated in the section
captioned "Description of Notes - Floating Rate Notes" in the Prospectus
Supplement, subject to and as modified by the provisions described below.

                                                        (continued on next page)



                            Bear, Stearns & Co. Inc.


      The BENs will be issued in registered global form and will remain on
deposit with The Depository Trust Company ("DTC"), as depositary for the BENs.
Therefore, you must exercise the option to extend the maturity of your BENs
through DTC. To ensure that DTC will receive timely notice of your election to
extend the maturity of all or a portion of your BENs, so that it can deliver
notice of your election to the Trustee prior to the close of business on the
last Business Day in the notice period, you must instruct the direct or indirect
participant through which you hold an interest in the BENs to notify DTC of your
election to extend the maturity of your BENs in accordance with the then
applicable operating procedures of DTC. Notice of any decision to revoke your
election must be made through the same clearing system channels.

      DTC must receive any notice of election from its participants no later
than 12:00 noon (New York City time) on the last Business Day in the notice
period for any election date. Different firms have different deadlines for
accepting instructions from their customers. You should consult the direct or
indirect participant through which you hold an interest in the BENs to ascertain
the deadline for ensuring that timely notice will be delivered to DTC. If the
election date is not a Business Day, notice of your election to extend the
maturity date of your BENs must be delivered to DTC by its participants no later
than 12:00 noon (New York City time) on the first Business Day following the
election date.

      The initial issuance of the BENs will be limited to $100,000,000 in
aggregate principal amount and the second issuance will be limited to
$100,000,000 in aggregate principal amount. We may create and issue additional
floating rate extendible notes with the same terms as the BENs so that such
additional floating rate extendible notes will be combined with the initial and
secondary issuances of the BENs.

      For purposes of your exercise of an election to extend the maturity of all
or any portion of your BENs, "Business Day" means any day that is not a Saturday
or Sunday, and that is neither a legal holiday nor a day on which banking
institutions or trust companies in New York City are authorized or obligated by
law to close.



                                      -2-



                                                        
Principal Amount:    $200,000,000     Floating Rate Notes [x]    Book Entry Notes [x]

Original Issue Date: 10/7/2004 ^      Fixed Rate Notes [ ]       Certificated Notes [ ]

                     10/22/2004 ^^


Initial Maturity Date:  10/6/2006, or if  CUSIP#: 073902GM4
         such day is not a Business             New CUSIP numbers
         Day, the following Business Day.       will be assigned to
                                                BENs maturing prior to
                                                the Final Maturity Date

Option to Extend Maturity:  No   [ ]
                            Yes  [x]      Final Maturity Date: 10/6/2009, or if
                                                such day is not a Business Day, 
                                                the following Business Day

Minimum Denominations:      $25,000, increased in multiples of $1,000.


                                              Optional              Optional
                         Redemption           Repayment             Repayment
   Redeemable On          Price(s)             Date(s)              Price(s)
   -------------       --------------       -------------          -----------

        N/A                  N/A                 N/A                   N/A

+  $100,000,000 was traded on October 1, 2004

++ $100,000,000 was traded on October 21, 2004

^  $100,000,000 was issued on October 7, 2004

^^ $100,000,000 was issued on October 22, 2004. Interest payable on January 6,
2005 with respect to the October 22, 2004 issuance of BENs will include interest
accrued from October 7, 2004.



Applicable Only to Fixed Rate Notes:
-----------------------------------

Interest Rate:

Interest Payment Dates:

Applicable Only to Floating Rate Notes:
--------------------------------------

Interest Rate Basis:                      Maximum Interest Rate:  N/A

[ ]  Commercial Paper Rate                Minimum Interest Rate:  N/A

[ ]  Federal Funds Effective Rate

[x]  Federal Funds Open Rate

[ ]  Treasury Rate

[ ]  LIBOR Reuters

[ ]  LIBOR Telerate

[ ]  Prime Rate

[ ]  CMT Rate


                                      -3-


                                    Interest Reset Date(s): Daily.

                                    Interest Reset Period: Daily, until the
                                        Interest Reset Date immediately
                                        preceding the relevant maturity date.

                                    Interest Payment Date(s): Commencing January
                                        6, 2005 and on the 6th day of each
                                        April, July, October and January
                                        thereafter, including the Final Maturity
                                        Date. The final Interest Payment Date
                                        for the BENs, or any portion of the BENs
                                        maturing prior to the Final Maturity
                                        Date, will be the maturity date, and
                                        interest for the final Interest Payment
                                        Period will accrue from and including
                                        the prior Interest Payment Date to but
                                        excluding the maturity date.

                                    Interest Payment Period: Quarterly.

                                    Election Dates: The election dates shall be
                                        annually on the 6th day of October in
                                        2005, 2006 and 2007, whether or not such
                                        day is a Business Day.

Initial Interest Rate for the       Notice Period(s): The notice period for each
October 7, 2004 issuance: 1.90%         election date will begin on the 5th 
                                        Business Day prior to but not including
                                        the election date and end on the
                                        election date; however, if that election
                                        date is not a Business Day, the notice
                                        period will be extended to the following
                                        Business Day.

Index Maturity:  N/A


                                      -4-


Spread (plus or minus):  The table below indicates
          the applicable Spread for the Interest
          Reset Dates occurring during each of the
          indicated periods.


For Interest Reset Dates occurring:                                   Spread:
----------------------------------                                    ------

From 10/7/04 to but excluding 10/6/2006:                              + .15%

From and including 10/6/2006  to but excluding 10/6/2007:             + .17%

From and including 10/6/2007  to but excluding 10/6/2008:             + .19%

From and including 10/6/2008 to but excluding 10/6/2009:              + .20%


                  CERTAIN US FEDERAL INCOME TAX CONSIDERATIONS

      The following discussion summarizes certain US federal income tax
consequences of the purchase, beneficial ownership and disposition of the BENs.
This discussion supplements the section captioned "Certain US Federal Income Tax
Considerations" in the Prospectus Supplement dated November 17, 2003. This
summary deals only with a beneficial owner of BENs that is:

      o     an individual who is a citizen or resident of the United States for
            US federal income tax purposes;

      o     a corporation (or other entity that is treated as a corporation for
            US federal tax purposes) that is created or organized in or under
            the laws of the United States or any State thereof (including the
            District of Columbia);

      o     an estate whose income is subject to US federal income taxation
            regardless of its source; or

      o     a trust if a court within the United States is able to exercise
            primary supervision over its administration, and one or more United
            States persons have the authority to control all of its substantial
            decisions (each, a "US Holder").

      If a partnership (or other entity that is treated as a partnership for US
federal tax purposes) is a beneficial owner of BENs, the treatment of a partner
in the partnership will generally depend upon the status of the partner and upon
the activities of the partnership. A beneficial owner of BENs that is a
partnership, and partners in such a partnership, should consult their tax
advisors about the US federal income tax consequences of holding and disposing
of the BENs.

      This discussion is based on interpretations of the Internal Revenue Code
of 1986, as amended (the "Code"), regulations issued there under, and rulings
and decisions currently in effect (or in some cases proposed), all of which are
subject to change. Any such change may be applied retroactively and may
adversely affect the federal income tax consequences described in this Pricing
Supplement. This summary addresses only US Holders that purchase BENs at initial
issuance and beneficially own such BENs as capital assets and not as part of a
"straddle," "hedge," "synthetic security" or a "conversion transaction" for
federal income tax purposes, or as part of some other integrated investment.
This summary does not discuss all of the tax consequences that may be relevant
to particular investors or to investors subject to special treatment under the
federal income tax laws (such as S corporations, banks, thrifts, or other
financial institutions, insurance companies, mutual funds, small business
investment companies, tax-exempt organizations, persons holding in tax-deferred
or tax-advantaged accounts, real estate investment trusts, regulated investment
companies, securities dealers or brokers, traders in securities electing mark to
market treatment, investors whose functional currency is not the US dollar,
persons subject to the alternative minimum tax, and former citizens or residents
of the United States), and this summary does not discuss the tax consequences
under the laws of any foreign, state or local taxing jurisdictions. Accordingly,
prospective investors are urged to consult their tax advisors with respect to
the federal, state and local tax consequences of investing in the BENs, as well
as any consequences arising under the laws of any other taxing jurisdiction to
which they may be subject.

PROSPECTIVE PURCHASERS OF BENs SHOULD CONSULT THEIR TAX ADVISORS AS TO THE
FEDERAL, STATE, LOCAL, AND OTHER TAX CONSEQUENCES TO THEM OF THE PURCHASE,
OWNERSHIP AND DISPOSITION OF BENs.


                                      -5-


Federal Income Tax Treatment of US Holders.

Qualified Reopening

      We will treat the BENs offered hereby as part of the same issue as the
BENs issued on October 7, 2004 (the "Original BENs") for US federal income tax
purposes. Accordingly, for purposes of the Treasury regulations governing
original issue discount on debt instruments (the "OID Regulations"), we will
treat the BENs offered hereby as having the same issue date, the same issue
price and, with respect to holders, the same adjusted issue price as the
Original BENs. Consequently, the "issue price" of the BENs offered hereby for US
federal income tax purposes will be the first price at which a substantial
amount of the Original BENs were sold to the public (excluding sales to bond
houses, brokers, or similar persons or organizations acting in the capacity of
underwriters, placement agents, or wholesalers). The purchase price for the BENs
offered hereby will reflect interest accrued from October 7, 2004 ("pre-issuance
accrued interest"), which will be included in accrued interest to be paid on
January 6, 2005. In accordance with the OID Regulations, we will exclude
pre-issuance accrued interest from the issue price of the BENs offered hereby.
Accordingly, US Holders should treat a corresponding portion of the interest
payable on January 6, 2005 as a return of the excluded pre-issuance accrued
interest, rather than as an amount payable on the BENs.

General

      There are no regulations, rulings or other authorities addressing the
federal income tax treatment of debt instruments with terms that are
substantially similar to the BENs, and therefore the federal income tax
treatment of the BENs is subject to some uncertainty. As discussed below, we
intend to take the position that the election by a US Holder to extend the
maturity of BENs through the Final Maturity Date will not be a taxable event for
us or the US Holder, and we intend to take the position that the Final Maturity
Date is the maturity date of the BENs for federal income tax purposes. However,
this position is not free from doubt.

Tax Treatment of the BENs

      Under the OID Regulations, for purposes of determining the yield and
maturity of a debt instrument, a holder is generally deemed to exercise an
option or combination of options if the exercise would maximize the yield on the
debt instrument. Because the Spread will periodically increase during the term
of the BENs, for purposes of OID Regulations, as of the issue date, we intend to
take the position that US Holders should be deemed to elect on each election
date, through and including October 6, 2007, to extend the maturity of the BENs
through the Final Maturity Date, and therefore that the Final Maturity Date is
the maturity date of the BENs for federal income tax purposes.

      Under the Treasury regulations governing modifications to the terms of
debt instruments (the "Modification Regulations"), the exercise of an option by
a holder of a debt instrument to defer any scheduled payment of principal is a
taxable event if, based on all the facts and circumstances, the deferral is
considered material under the Modification Regulations. The Modification
Regulations do not specifically address the unique features of the BENs
(including their economic equivalence to a five-year debt instrument containing
put options).

      Because we will take the position under the OID Regulations that the Final
Maturity Date is the maturity date of the BENs, we intend to take the position
that the election by a holder to extend the maturity of BENs through the Final
Maturity Date will not give rise to a taxable event for us or holders. Holders,
by purchasing the BENs, will agree to this treatment and will not take a
contrary treatment unless required by law.

      It is unclear how the OID Regulations apply in conjunction with the
Modification Regulations, and therefore no assurance can be given that the IRS
will accept, or that the courts will uphold, this position. For example, the IRS
may assert that a holder should not be treated as exercising all options that
maximize its yield for purposes of the Modification Regulations, and therefore
each extension of BENs is treated as a modification for federal income tax
purposes. Under a safe harbor in the Modification Regulations, a deferral that
extends the maturity of a debt instrument for the lesser of five years or 50% of
the original term of the debt instrument does not give rise to a taxable event.
Because the BENs mature pursuant to their terms in approximately 24 months, an
election to extend the maturity of BENs through October 2007 (i.e., 50% of 24
months) should not be treated as a taxable event in any case. However, the IRS
may view any election to extend the maturity of the BENs by more than twelve
months as giving rise to a taxable event.


                                      -6-


      In this event, a US Holder would generally be required to recognize any
gain inherent in the BENs. We do not expect that any such gain would be
significant (but the amount of any such gain recognized will depend upon all the
facts and circumstances present at the time of the taxable event).

      In addition, it is possible that the IRS could assert that the BENs are
subject to special rules governing "contingent payment debt instruments." If the
IRS were successful in this assertion, US Holders may be required to accrue
original issue discount income, subject to adjustments, at a "comparable yield"
on the issue price of the BENs and any gain recognized with respect to the BENs
generally would be treated as ordinary income. However, because the BENs bear a
variable interest rate that is reset periodically throughout the term of the
BENs and provide for current payment of interest, we expect that the adverse tax
consequences of such treatment, if any, should not be significant. The federal
income tax treatment of contingent payment debt instruments is summarized in the
Prospectus Supplement dated November 17, 2003 under the caption "Certain US
Federal Income Tax Considerations - Contingent Payment Debt Instruments." Each
US Holder is urged to consult its tax advisors regarding its tax treatment in
the event it elects to extend the maturity of the BENs.

      The remainder of this summary assumes that the Final Maturity Date is the
maturity date of the BENs, elections to extend the maturity of all or a portion
of the principal amount of the BENs through the Final Maturity Date will not be
taxable events and that the BENs are not contingent payment debt instruments for
US federal income tax purposes.

Interest

      Interest paid to a US Holder on the BENs will be includible in gross
income as ordinary interest income when paid or accrued in accordance with the
US Holder's usual method of accounting.

      In addition, any increase on a particular Interest Reset Date in the
Spread that is added to LIBOR to determine the interest rate for the ensuing
interest period for the BENs should be considered "de minimis" under the
original issue discount rules, and therefore the BENs should not be considered
to have original issue discount for US federal income tax purposes as a result
of the increase in the Spread.

Sale, Exchange, Redemption, Repayment or Other Disposition of the BENs

      Upon the disposition of BENs by sale, exchange, redemption, repayment or
other disposition, a US Holder will generally recognize taxable gain or loss
equal to the difference, if any, between (i) the amount realized on the
disposition (other than amounts attributable to accrued but unpaid interest,
which would be treated as such) and (ii) the US Holder's adjusted tax basis in
the BENs. A US Holder's adjusted tax basis in BENs generally will equal the cost
of the BENs to the US Holder. Capital gains of individual taxpayers from the
sale, exchange, redemption, repayment or other disposition of BENs held for more
than one year may be eligible for reduced rates of taxation. The deductibility
of a capital loss realized on the sale, exchange, redemption, repayment or other
disposition of BENs is subject to limitations.

Information Reporting and Backup Withholding.

      Information reporting will apply to certain payments on BENs (including
interest and OID) and proceeds of the sale of BENs held by a US Holder that is
not an exempt recipient (such as a corporation). Backup withholding may apply to
payments made to a US Holder if (a) the US Holder has failed to provide its
correct taxpayer identification number on IRS Form W-9, or (b) we have been
notified by the IRS of an underreporting by the US Holder (underreporting
generally refers to a determination by the IRS that a payee has failed to
include in income on its tax return any reportable dividend and interest
payments required to be shown on a tax return for a taxable year).

      Backup withholding is not an additional tax and may be refunded (or
credited against your US federal income tax liability, if any), provided, that
certain required information is furnished. The information reporting
requirements may apply regardless of whether withholding is required.

THE PRECEDING DISCUSSION IS ONLY A SUMMARY OF CERTAIN OF THE TAX IMPLICATIONS OF
AN INVESTMENT IN BENs. PROSPECTIVE PURCHASERS ARE URGED TO CONSULT WITH THEIR
TAX ADVISORS PRIOR TO INVESTING TO DETERMINE THE TAX IMPLICATIONS OF SUCH
INVESTMENT IN LIGHT OF EACH SUCH INVESTOR'S PARTICULAR CIRCUMSTANCES.


                                      -7-


                                   *    *    *

The distribution of BENs will conform to the requirements set forth in Rule 2720
of the NASD Conduct Rules.






                                      -8-