36875596310784 has 2187 divisors, whose sum is σ = 143173072685097. Its totient is φ = 9094217932800.

The previous prime is 36875596310711. The next prime is 36875596310821. The reversal of 36875596310784 is 48701369557863.

It is a happy number.

The square root of 36875596310784 is 6072528.

It is a perfect power (a square), and thus also a powerful number.

36875596310784 is a `hidden beast` number, since 3 + 6 + 8 + 7 + 559 + 63 + 1 + 0 + 7 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26583511046400 + 10292085264384 = 5155920^2 + 3208128^2 .

It is a super-2 number, since 2×36875596310784² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 695765968102 + ... + 695765968154.

Almost surely, 2^{36875596310784} is an apocalyptic number.

36875596310784 is the 6072528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36875596310784

36875596310784 is an abundant number, since it is smaller than the sum of its proper divisors (106297476374313).

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

36875596310784 is a wasteful number, since it uses less digits than its factorization.

36875596310784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 36875596310784 in words is "thirty-six trillion, eight hundred seventy-five billion, five hundred ninety-six million, three hundred ten thousand, seven hundred eighty-four".