Welcome to the Forum. I assume there is an "S" stamped on the butt, which is part of the serial number. The 38/44 Outdoorsman was manufactured starting in 1931. That revolver would have shipped from the factory in 1955-1956 time-frame. Model numbers were not introduced until 1957-1958, so the proper name is as above, plus these are called 38/44 Heavy Duty revolvers by many collectors, due to the fact that they were built on the large N frame.
As for value, it is difficult to make any meaningful assessment with only one picture. The boxes are selling for $200 and up now and the revolver could range from $600 up to $??. How high is a matter of condition, percent finish remaining, functionality, originality, etc. Those stocks are not factory original and deduct some from the gun value, since the original serial numbered stocks are probably long gone.
Sorry, I just noticed the small "s" in your serial number, so you got it right.