3638053560960 has 1536 divisors, whose sum is σ = 16385600851200. Its totient is φ = 755979485184.

The previous prime is 3638053560943. The next prime is 3638053560961. The reversal of 3638053560960 is 690653508363.

It is a super-2 number, since 2×3638053560960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3638053560897 and 3638053560906.

It is not an unprimeable number, because it can be changed into a prime (3638053560961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 737490654 + ... + 737495586.

Almost surely, 2^{3638053560960} is an apocalyptic number.

3638053560960 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 3638053560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8192800425600).

3638053560960 is an abundant number, since it is smaller than the sum of its proper divisors (12747547290240).

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

3638053560960 is a wasteful number, since it uses less digits than its factorization.

3638053560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5055 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 3638053560960 in words is "three trillion, six hundred thirty-eight billion, fifty-three million, five hundred sixty thousand, nine hundred sixty".