Look on the butt for the sn
M&p
Part of the serial number. CHeck the butt.
Your serial number indicates that your Smith and Wesson 38 special was made in the Year 1960.
S&W did not make a firearm with that name.
No serial number = no answer.
You buy a book that has the serial numbers in it.
Model numbers did not come into use until @1957
Impossible to answer without the serial number.
No serial number given.
Standard Catalog of Smith and Wesson by Supica and Nahas
Some older models of S&W revolvers you have to remove the grips to find the serial numbers engraved on the grip frame.
Email smith and Wesson for the answer
If you contact Smith & Wesson, they will give you that information.