There isn't a Browning Sweet 16 with that number alone. If it is a sweet, then it will have a letter above the number or preceding it. It's possible that it's a Standard Weight 16ga which would have Ogden Utah on the barrel; If this is the case, the gun was made in 1926. Value will depend on the age, and condition which could be anywhere between $300 and $2000+. More information is needed.
Your browning sweet sixteen was made by FN of belguim for browning in 1924.
Your browning sweet sixteen was made by FN for browning in 1951.
Your serial number indicates that your sweet sixteen model Browning shotgun was made in the year 1954.
1924
Your browning sweet-sixteen was one of the last six shotguns made by FN of belguim for browning in 1949.
Could you look and see if there is a prefix letter,or a number letter combination prefix to your serial number?this would aid greatly in establishing the year of manufacture of you browning sweet-sixteen.
This was made in 1958.
The 0s prefix to your serial number sets the date of manufacture of your Browning sweet sixteen shotgun to the year 1960.
Browning's web site has a sn search function.
With the serial number that you have provided,your Browning sweet sixteen auto-5 shotgun was made in the year 1956 by FN of Belgium for Browning.
The 3S prefix to your serial number indicates that your Browning sweet sixteen shotgun was made by FN of Belguim for Browning in 1963.
You will have to call Browning.