http://en.wikipedia.org/wiki/Marlin_Model_336
Remington Remington along with a number of other brand names (DPMS, AAC, Marlin) are all part of the Freedom Group family of companies.
We need a model to start research. You should contact customer service at Remington (who now owns Marlin)
I have Marlin Model 336RC lever action I inherieted recently... Serial number I found was under the lever.
The letter U which is a prefix to your serial number is used to date the production of your Marlin lever action rifle.In this case the letter U indicates that your rifle was made by marlin in the time frame of 1960-august of 1961.
With the serial number that you have supplied,your Marlin model 336 was made in the year 1982.
Your Marlin rifle was made in the year 1982,with the serial number that you have provided.
The letter V prefix to your serial number indicates that your Marlin model 336SC(sporting carbine) was made between 1961-Aug.1962.
Your serial number indicates that your Marlin model 336 lever action rifle was made in the year 1980.
Your serial number indicates that your Marlin model 336 lever action rifle was made in the year 1974.
The Marlin lever action 38w, serial number 41436 is valued at $700 in excellent condition. It is valued at $500 in fair condition.
Your Marlin model 336 was made in the year 2000.
Your Marlin model 38 pump action 22cal rifle was made between 1920-1930.