3688135056 has 60 divisors (see below), whose sum is σ = 10326697680. Its totient is φ = 1228777920.

The previous prime is 3688135013. The next prime is 3688135079. The reversal of 3688135056 is 6505318863.

3688135056 is a `hidden beast` number, since 3 + 68 + 81 + 3 + 505 + 6 = 666.

It is a super-2 number, since 2×3688135056² = 27204680382592246272, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 366411 + ... + 376341.

It is an arithmetic number, because the mean of its divisors is an integer number (172111628).

Almost surely, 2^3688135056 is an apocalyptic number.

3688135056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3688135056 is an abundant number, since it is smaller than the sum of its proper divisors (6638562624).

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

3688135056 is a wasteful number, since it uses less digits than its factorization.

3688135056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12524 (or 12515 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 3688135056 is about 60730.0177506972. The cubic root of 3688135056 is about 1545.0253353058.

The spelling of 3688135056 in words is "three billion, six hundred eighty-eight million, one hundred thirty-five thousand, fifty-six".