3639720960 has 352 divisors, whose sum is σ = 13105385280. Its totient is φ = 957874176.

The previous prime is 3639720947. The next prime is 3639720967. The reversal of 3639720960 is 690279363.

3639720960 is a `hidden beast` number, since 3 + 639 + 7 + 2 + 0 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3639720967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15621004 + ... + 15621236.

Almost surely, 2^3639720960 is an apocalyptic number.

3639720960 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 3639720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552692640).

3639720960 is an abundant number, since it is smaller than the sum of its proper divisors (9465664320).

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

3639720960 is a wasteful number, since it uses less digits than its factorization.

3639720960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The square root of 3639720960 is about 60330.0999501907. The cubic root of 3639720960 is about 1538.2350274930.

The spelling of 3639720960 in words is "three billion, six hundred thirty-nine million, seven hundred twenty thousand, nine hundred sixty".