3688934976 has 42 divisors (see below), whose sum is σ = 10573667702. Its totient is φ = 1229644800.

The previous prime is 3688934969. The next prime is 3688935119. The reversal of 3688934976 is 6794398863.

3688934976 is a `hidden beast` number, since 3 + 68 + 89 + 3 + 497 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2825985600 + 862949376 = 53160^2 + 29376^2 .

It is a super-2 number, since 2×3688934976² = 27216482514312241152, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3201625 + ... + 3202776.

Almost surely, 2^3688934976 is an apocalyptic number.

3688934976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3688934976 is an abundant number, since it is smaller than the sum of its proper divisors (6884732726).

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

3688934976 is a wasteful number, since it uses less digits than its factorization.

3688934976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6404419 (or 6404406 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The square root of 3688934976 is about 60736.6032636004. The cubic root of 3688934976 is about 1545.1370274670.

The spelling of 3688934976 in words is "three billion, six hundred eighty-eight million, nine hundred thirty-four thousand, nine hundred seventy-six".