3623868576 has 72 divisors (see below), whose sum is σ = 10314941364. Its totient is φ = 1206835200.

The previous prime is 3623868571. The next prime is 3623868593. The reversal of 3623868576 is 6758683263.

3623868576 is a `hidden beast` number, since 3 + 6 + 2 + 3 + 8 + 68 + 576 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3425058576 + 198810000 = 58524^2 + 14100^2 .

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

It is a super-2 number, since 2×3623868576² = 26264846912240535552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3623868571) 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, 340650 + ... + 351126.

Almost surely, 2^3623868576 is an apocalyptic number.

3623868576 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3623868576 is an abundant number, since it is smaller than the sum of its proper divisors (6691072788).

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

3623868576 is a wasteful number, since it uses less digits than its factorization.

3623868576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11694 (or 11683 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 3623868576 is about 60198.5761957872. The cubic root of 3623868576 is about 1535.9985758450.

The spelling of 3623868576 in words is "three billion, six hundred twenty-three million, eight hundred sixty-eight thousand, five hundred seventy-six".