Sounds like a really, really good deal. I always wanted to get one in .35 Remington.
I remember reading an gun article from way back in the 50s, written by an experienced hunter who was also a military officer.
For woods deer hunting, he regarded his 336C in .35 Rem. as the best, bar none.
He fitted his with a Lyman receiver sight and a 3/32" bead front sight, which is and always has been an excellent combo.
It would be interesting to find out the year of manufacture. Perhaps you lucked out and got one of earlier manufacture from the 50s or 60s.
This site will tell you about your JM gun up to 1990.
http://oldguns.net/sn_php/marlinlookup.php
Or ty this page for JM guns made from 1941 to 2011.
http://www.gunvaluesboard.com/marlin-serial-numbers-dates-of-manufacture-1664.html