Impossible to answer without a detailed description.
Part of the serial number. CHeck the butt.
S&W did not make a firearm with that name.
If they are numbers off the butt, they are the sn.
Model numbers did not come into use until @1957
Look on the butt for the sn
You have a Chief's Special. Model numbers were not used unitl @ 1957. Value can range from 75-650 USD
Could be one of a dozen model numbers/pre model numbers. You will have to provide a detailed description or call S&W
If you contact Smith & Wesson, they will give you that information.
38 special
Standard Catalog of Smith and Wesson by Supica and Nahas
Your serial number indicates that your Smith and Wesson 38 special was made in the Year 1960.
Email smith and Wesson for the answer