You don't provide the serial number. The question can not be answered without that piece of information.
1947
Your serial number of 3K62917 indicates that your Smith and Wesson model 14-3 was made in the year 1972.
Made in 1970
Check w/ S&W, or in the Standard Catalog of Smith & Wesson. Data is not otherwise published.
If the serial number is J75635 then your Smith and Wesson model 36,J frame revolver was made between 1979-1980.
Your Description and serial number indicate that you have a Smith and Wesson model 30,or 31 which was made between 1961-1970.
Made @ 1964.
I don't know google it.
Your Smith and Wesson revolver was made in the year 1985.The value will be between 375-600 dollars depending on overall condition of your revolver and a good bore.
The Smith & Wesson .32 Long CTG revolver with serial number 335070 was likely manufactured around 1910. Smith & Wesson revolvers from this era typically used a serial number range that allows for this estimation. For precise dating, consulting factory records or a Smith & Wesson reference guide would provide more exact information.
The Smith & Wesson revolver with serial number K 241205 was manufactured in 1956. This serial number falls within the range of the Model 10 revolvers produced during that time. Smith & Wesson typically used a letter prefix to identify the manufacturing year, and the "K" prefix indicates it is a K-frame revolver from that period.
S&W will tell you when it was shipped from the factory if you call them.