38226630426624 has 240 divisors, whose sum is σ = 113287011042240. Its totient is φ = 12739242885120.

The previous prime is 38226630426623. The next prime is 38226630426683. The reversal of 38226630426624 is 42662403662283.

38226630426624 is a `hidden beast` number, since 3 + 8 + 2 + 2 + 6 + 6 + 3 + 0 + 4 + 2 + 6 + 624 = 666.

It is a super-2 number, since 2×38226630426624² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (38226630426623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2747540692 + ... + 2747554604.

It is an arithmetic number, because the mean of its divisors is an integer number (472029212676).

Almost surely, 2^{38226630426624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38226630426624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56643505521120).

38226630426624 is an abundant number, since it is smaller than the sum of its proper divisors (75060380615616).

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

38226630426624 is an equidigital number, since it uses as much as digits as its factorization.

38226630426624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20161 (or 20129 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 54.

The spelling of 38226630426624 in words is "thirty-eight trillion, two hundred twenty-six billion, six hundred thirty million, four hundred twenty-six thousand, six hundred twenty-four".