3117687264 has 72 divisors (see below), whose sum is σ = 9033248952. Its totient is φ = 1019616000.

The previous prime is 3117687241. The next prime is 3117687269. The reversal of 3117687264 is 4627867113.

3117687264 is a `hidden beast` number, since 311 + 76 + 8 + 7 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3117687264² = 19439947752215611392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3117687269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86862 + ... + 117389.

It is an arithmetic number, because the mean of its divisors is an integer number (125461791).

Almost surely, 2^3117687264 is an apocalyptic number.

It is an amenable number.

3117687264 is an abundant number, since it is smaller than the sum of its proper divisors (5915561688).

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

3117687264 is a wasteful number, since it uses less digits than its factorization.

3117687264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204320 (or 204309 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 3117687264 is about 55836.2540290804. The cubic root of 3117687264 is about 1460.8675746830.

The spelling of 3117687264 in words is "three billion, one hundred seventeen million, six hundred eighty-seven thousand, two hundred sixty-four".