3638982158136 has 1280 divisors, whose sum is σ = 12803712768000. Its totient is φ = 952708055040.

The previous prime is 3638982158081. The next prime is 3638982158159. The reversal of 3638982158136 is 6318512898363.

3638982158136 is a `hidden beast` number, since 3 + 6 + 389 + 8 + 215 + 8 + 1 + 36 = 666.

3638982158136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3638982158136² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8443113841 + ... + 8443114271.

It is an arithmetic number, because the mean of its divisors is an integer number (10002900600).

Almost surely, 2^{3638982158136} is an apocalyptic number.

3638982158136 is a gapful number since it is divisible by the number (36) 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 3638982158136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6401856384000).

3638982158136 is an abundant number, since it is smaller than the sum of its proper divisors (9164730609864).

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

3638982158136 is a wasteful number, since it uses less digits than its factorization.

3638982158136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 621 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 3638982158136 in words is "three trillion, six hundred thirty-eight billion, nine hundred eighty-two million, one hundred fifty-eight thousand, one hundred thirty-six".