3623878656 has 112 divisors (see below), whose sum is σ = 10737418200. Its totient is φ = 1207959552.

The previous prime is 3623878633. The next prime is 3623878669. The reversal of 3623878656 is 6568783263.

The cubic root of 3623878656 is 1536.

It is a perfect power (a cube), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)³ ⋅ (2!)¹⁸.

3623878656 is a `hidden beast` number, since 3 + 623 + 8 + 7 + 8 + 6 + 5 + 6 = 666.

It is an ABA number since it can be written as A⋅B^A, here for A=27, B=2.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (8709120) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 8 and base 16.

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1207959551 + 1207959552 + 1207959553.

Almost surely, 2^3623878656 is an apocalyptic number.

3623878656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3623878656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5368709100).

3623878656 is an abundant number, since it is smaller than the sum of its proper divisors (7113539544).

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

3623878656 is an frugal number, since it uses more digits than its factorization.

3623878656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 5 counting only the distinct ones).

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

The square root of 3623878656 is about 60198.6599186394.

Multiplying 3623878656 by its sum of digits (54), we get a square (195689447424 = 442368²).

3623878656 divided by its sum of digits (54) gives a 26-th power (67108864 = 2²⁶).

The spelling of 3623878656 in words is "three billion, six hundred twenty-three million, eight hundred seventy-eight thousand, six hundred fifty-six".