Hello and welcome to the forum.
I don't have my reference material with me right now, but it sounds like you have a K Frame Victory Model (The "V" preceeding the s/n).
The barrel should be measured from the front of the cylinders to the end of the barrel (muzzle)..........I'm gonna guess that it's really a 4" barrel (not 3 1/2").
Please keep in mind that .38 S&W is not the same caliber as .38 Special.
I'll let the real experts fill in the blanks.