3697574400 has 480 divisors, whose sum is σ = 14633646720. Its totient is φ = 909066240.

The previous prime is 3697574399. The next prime is 3697574411. The reversal of 3697574400 is 44757963.

3697574400 is a `hidden beast` number, since 36 + 9 + 7 + 574 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4492389 + ... + 4493211.

It is an arithmetic number, because the mean of its divisors is an integer number (30486764).

Almost surely, 2^3697574400 is an apocalyptic number.

3697574400 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 3697574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7316823360).

3697574400 is an abundant number, since it is smaller than the sum of its proper divisors (10936072320).

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

3697574400 is a wasteful number, since it uses less digits than its factorization.

3697574400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 3697574400 is about 60807.6837250030. The cubic root of 3697574400 is about 1546.3423153911.

The spelling of 3697574400 in words is "three billion, six hundred ninety-seven million, five hundred seventy-four thousand, four hundred".