3639956880 has 160 divisors (see below), whose sum is σ = 13196012544. Its totient is φ = 812625408.

The previous prime is 3639956851. The next prime is 3639956891. The reversal of 3639956880 is 886599363.

3639956880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3639956880.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47047 + ... + 97433.

Almost surely, 2^3639956880 is an apocalyptic number.

3639956880 is a gapful number since it is divisible by the number (30) 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 3639956880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6598006272).

3639956880 is an abundant number, since it is smaller than the sum of its proper divisors (9556055664).

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

3639956880 is a wasteful number, since it uses less digits than its factorization.

3639956880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50453 (or 50447 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 57.

The square root of 3639956880 is about 60332.0551614148. The cubic root of 3639956880 is about 1538.2682619608.

The spelling of 3639956880 in words is "three billion, six hundred thirty-nine million, nine hundred fifty-six thousand, eight hundred eighty".