38718360256032 has 384 divisors, whose sum is σ = 127928049580800. Its totient is φ = 11318969548800.

The previous prime is 38718360256021. The next prime is 38718360256073. The reversal of 38718360256032 is 23065206381783.

It is a happy number.

38718360256032 is a `hidden beast` number, since 3 + 8 + 7 + 1 + 8 + 3 + 6 + 0 + 25 + 603 + 2 = 666.

38718360256032 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 2×38718360256032² (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 self number, because there is not a number n which added to its sum of digits gives 38718360256032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15886182 + ... + 18160602.

It is an arithmetic number, because the mean of its divisors is an integer number (333145962450).

Almost surely, 2^{38718360256032} is an apocalyptic number.

38718360256032 is a gapful number since it is divisible by the number (32) 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 38718360256032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63964024790400).

38718360256032 is an abundant number, since it is smaller than the sum of its proper divisors (89209689324768).

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

38718360256032 is a wasteful number, since it uses less digits than its factorization.

38718360256032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274537 (or 2274523 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 38718360256032 in words is "thirty-eight trillion, seven hundred eighteen billion, three hundred sixty million, two hundred fifty-six thousand, thirty-two".