3688930875504 has 160 divisors (see below), whose sum is σ = 11148301891584. Its totient is φ = 1029109697280.

The previous prime is 3688930875451. The next prime is 3688930875541. The reversal of 3688930875504 is 4055780398863.

It is a super-2 number, since 2×3688930875504² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42766339 + ... + 42852509.

Almost surely, 2^{3688930875504} 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 3688930875504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5574150945792).

3688930875504 is an abundant number, since it is smaller than the sum of its proper divisors (7459371016080).

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

3688930875504 is a wasteful number, since it uses less digits than its factorization.

3688930875504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89195 (or 89189 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 66.

The spelling of 3688930875504 in words is "three trillion, six hundred eighty-eight billion, nine hundred thirty million, eight hundred seventy-five thousand, five hundred four".