3749683200 has 336 divisors, whose sum is σ = 13164068160. Its totient is φ = 938475520.

The previous prime is 3749683187. The next prime is 3749683211. The reversal of 3749683200 is 23869473.

3749683200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3749683200³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10444621 + ... + 10444979.

Almost surely, 2^3749683200 is an apocalyptic number.

3749683200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3749683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6582034080).

3749683200 is an abundant number, since it is smaller than the sum of its proper divisors (9414384960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3749683200 is a wasteful number, since it uses less digits than its factorization.

3749683200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 3749683200 is about 61234.6568537785. The cubic root of 3749683200 is about 1553.5725019112.

The spelling of 3749683200 in words is "three billion, seven hundred forty-nine million, six hundred eighty-three thousand, two hundred".