3917166656 has 56 divisors (see below), whose sum is σ = 8863507800. Its totient is φ = 1701568512.

The previous prime is 3917166647. The next prime is 3917166689. The reversal of 3917166656 is 6566617193.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 409600 + 3916757056 = 640^2 + 62584^2 .

It is a super-2 number, since 2×3917166656² = 30688389221756444672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124331 + ... + 152618.

It is an arithmetic number, because the mean of its divisors is an integer number (158276925).

Almost surely, 2^3917166656 is an apocalyptic number.

It is an amenable number.

3917166656 is an abundant number, since it is smaller than the sum of its proper divisors (4946341144).

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

3917166656 is a wasteful number, since it uses less digits than its factorization.

3917166656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276991 (or 276981 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 50.

The square root of 3917166656 is about 62587.2723163424. The cubic root of 3917166656 is about 1576.3670544300.

The spelling of 3917166656 in words is "three billion, nine hundred seventeen million, one hundred sixty-six thousand, six hundred fifty-six".