38626689024000 has 3648 divisors, whose sum is σ = 183494745757440. Its totient is φ = 8026324992000.

The previous prime is 38626689023939. The next prime is 38626689024013. The reversal of 38626689024000 is 42098662683.

It is a Jordan-Polya number, since it can be written as 12! ⋅ 8! ⋅ 2!.

38626689024000 is a `hidden beast` number, since 3 + 8 + 626 + 6 + 8 + 9 + 0 + 2 + 4 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×38626689024000² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3511517183995 + ... + 3511517184005.

It is an arithmetic number, because the mean of its divisors is an integer number (50300094780).

Almost surely, 2^{38626689024000} is an apocalyptic number.

38626689024000 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 38626689024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91747372878720).

38626689024000 is an abundant number, since it is smaller than the sum of its proper divisors (144868056733440).

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

38626689024000 is an frugal number, since it uses more digits than its factorization.

38626689024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 38626689024000 in words is "thirty-eight trillion, six hundred twenty-six billion, six hundred eighty-nine million, twenty-four thousand".