3102564456 has 48 divisors (see below), whose sum is σ = 8561332260. Its totient is φ = 1014673920.

The previous prime is 3102564427. The next prime is 3102564457. The reversal of 3102564456 is 6544652013.

3102564456 is a `hidden beast` number, since 3 + 1 + 0 + 2 + 5 + 644 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2977884900 + 124679556 = 54570^2 + 11166^2 .

It is a super-3 number, since 3×3102564456³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3102564456.

It is not an unprimeable number, because it can be changed into a prime (3102564457) 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, 402705 + ... + 410336.

Almost surely, 2^3102564456 is an apocalyptic number.

3102564456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3102564456 is an abundant number, since it is smaller than the sum of its proper divisors (5458767804).

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

3102564456 is a wasteful number, since it uses less digits than its factorization.

3102564456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813106 (or 813099 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3102564456 is about 55700.6683622378. The cubic root of 3102564456 is about 1458.5016930314.

It can be divided in two parts, 31025 and 64456, that added together give a square (95481 = 309²).

The spelling of 3102564456 in words is "three billion, one hundred two million, five hundred sixty-four thousand, four hundred fifty-six".