3639068160 has 640 divisors, whose sum is σ = 14783053824. Its totient is φ = 743178240.

The previous prime is 3639068149. The next prime is 3639068179. The reversal of 3639068160 is 618609363.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28654017 + ... + 28654143.

Almost surely, 2^3639068160 is an apocalyptic number.

3639068160 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 3639068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7391526912).

3639068160 is an abundant number, since it is smaller than the sum of its proper divisors (11143985664).

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

3639068160 is a wasteful number, since it uses less digits than its factorization.

3639068160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 3639068160 is about 60324.6894728850. The cubic root of 3639068160 is about 1538.1430589166.

The spelling of 3639068160 in words is "three billion, six hundred thirty-nine million, sixty-eight thousand, one hundred sixty".