jmcgaz:
You have a .38 Double Action 4th Model manufactured around 1898-1899. Pre-1898 guns, before serial number 3820022 are considered antiques and not subject to Federal regulation.
There is no way to prove it is unfired. If it has the original box, etc, then value could be around $700 or so. Any sign of wear will halve that price. The six inch barrel is rare and may add to the price. The Standard catalog of S&W noted that in 2006 a .38 DA 4th Model with six inch barrel, factory pearl grips and box in 90% condition was listed at $1000. Whether it sold at that price is another question.
Thanks Radagast,
I assume there's a typo in the serial number you quoted -- it looks like one digit too many. So, I gather mine (386xxx) must be considered modern rather than antique?
Unfortunately I do not have the box, but it seems there is very little or no wear at all. I greatly appreciate the info.
Jim