3639214656 has 392 divisors, whose sum is σ = 13512417984. Its totient is φ = 944317440.

The previous prime is 3639214639. The next prime is 3639214673. The reversal of 3639214656 is 6564129363.

3639214656 is a `hidden beast` number, since 3 + 639 + 2 + 1 + 4 + 6 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3639214639) and next prime (3639214673).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3592006 + ... + 3593018.

Almost surely, 2^3639214656 is an apocalyptic number.

3639214656 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 3639214656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6756208992).

3639214656 is an abundant number, since it is smaller than the sum of its proper divisors (9873203328).

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

3639214656 is a wasteful number, since it uses less digits than its factorization.

3639214656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1036 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 3639214656 is about 60325.9036898744. The cubic root of 3639214656 is about 1538.1636987042.

The spelling of 3639214656 in words is "three billion, six hundred thirty-nine million, two hundred fourteen thousand, six hundred fifty-six".