Just by the serial number, no.
With just the serial number, nothing.
You can't value anything with just a serial number. Who made it? What condition is it in? Is it a hand gun or a long gun?
Usually by looking up the serial number.
1 - find serial number on weapon 2- find book with serial number data for weapon you have.
Impossible to value with just the serial number.
No serial number provided; no way to answer.
Impossible to answer without the serial number
Impossible to value with only the serial number and no other information.
Serial numbers are not exclusive to one gun - hence, there is no way of answering this question, even if you had provided the serial number.
You will have to call S&W
Please provide a serial number and ask again