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.
Your Description and serial number indicate that you have a Smith and Wesson model 30,or 31 which was made between 1961-1970.
If the serial number is J75635 then your Smith and Wesson model 36,J frame revolver was made between 1979-1980.
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.
Made in 1968.
S&W will tell you when it was shipped from the factory if you call them.
Need a detailed description of ALL markings.