3638568960 has 288 divisors, whose sum is σ = 13585146120. Its totient is φ = 895352832.

The previous prime is 3638568959. The next prime is 3638569009. The reversal of 3638568960 is 698658363.

It can be written as a sum of positive squares in 4 ways, for example, as 2900468736 + 738100224 = 53856^2 + 27168^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 3638568897 and 3638568906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1196562 + ... + 1199598.

Almost surely, 2^3638568960 is an apocalyptic number.

3638568960 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 3638568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6792573060).

3638568960 is an abundant number, since it is smaller than the sum of its proper divisors (9946577160).

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

3638568960 is a wasteful number, since it uses less digits than its factorization.

3638568960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083 (or 3060 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The square root of 3638568960 is about 60320.5517216147. The cubic root of 3638568960 is about 1538.0727225837.

It can be divided in two parts, 363856 and 8960, that added together give a triangular number (372816 = T₈₆₃).

The spelling of 3638568960 in words is "three billion, six hundred thirty-eight million, five hundred sixty-eight thousand, nine hundred sixty".