3697125600 has 288 divisors, whose sum is σ = 13814115840. Its totient is φ = 841328640.

The previous prime is 3697125599. The next prime is 3697125629. The reversal of 3697125600 is 65217963.

3697125600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6030894 + ... + 6031506.

It is an arithmetic number, because the mean of its divisors is an integer number (47965680).

Almost surely, 2^3697125600 is an apocalyptic number.

3697125600 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 3697125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6907057920).

3697125600 is an abundant number, since it is smaller than the sum of its proper divisors (10116990240).

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

3697125600 is a wasteful number, since it uses less digits than its factorization.

3697125600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 3697125600 is about 60803.9932899148. The cubic root of 3697125600 is about 1546.2797494639.

The spelling of 3697125600 in words is "three billion, six hundred ninety-seven million, one hundred twenty-five thousand, six hundred".