3690156800 has 432 divisors, whose sum is σ = 10839806208. Its totient is φ = 1230028800.

The previous prime is 3690156773. The next prime is 3690156809. The reversal of 3690156800 is 86510963.

3690156800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3690156809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69625574 + ... + 69625626.

It is an arithmetic number, because the mean of its divisors is an integer number (25092144).

Almost surely, 2^3690156800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3690156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5419903104).

3690156800 is an abundant number, since it is smaller than the sum of its proper divisors (7149649408).

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

3690156800 is a wasteful number, since it uses less digits than its factorization.

3690156800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 3690156800 is about 60746.6608135789. The cubic root of 3690156800 is about 1545.3075985689.

The spelling of 3690156800 in words is "three billion, six hundred ninety million, one hundred fifty-six thousand, eight hundred".