38817148744920 has 1152 divisors, whose sum is σ = 155365689427200. Its totient is φ = 7710727385088.

The previous prime is 38817148744873. The next prime is 38817148744951. The reversal of 38817148744920 is 2944784171883.

38817148744920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 3077544534 + ... + 3077557146.

It is an arithmetic number, because the mean of its divisors is an integer number (134866049850).

Almost surely, 2^{38817148744920} is an apocalyptic number.

38817148744920 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 38817148744920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77682844713600).

38817148744920 is an abundant number, since it is smaller than the sum of its proper divisors (116548540682280).

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

38817148744920 is a wasteful number, since it uses less digits than its factorization.

38817148744920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12849 (or 12825 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 66.

The spelling of 38817148744920 in words is "thirty-eight trillion, eight hundred seventeen billion, one hundred forty-eight million, seven hundred forty-four thousand, nine hundred twenty".