38722199548032 has 3072 divisors, whose sum is σ = 166594821120000. Its totient is φ = 8786944696320.

The previous prime is 38722199548003. The next prime is 38722199548049. The reversal of 38722199548032 is 23084599122783.

38722199548032 is a `hidden beast` number, since 3 + 8 + 7 + 22 + 19 + 95 + 480 + 32 = 666.

38722199548032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 383 ways as a sum of consecutive naturals, for example, 37268718969 + ... + 37268720007.

It is an arithmetic number, because the mean of its divisors is an integer number (54230085000).

Almost surely, 2^{38722199548032} is an apocalyptic number.

38722199548032 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 38722199548032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83297410560000).

38722199548032 is an abundant number, since it is smaller than the sum of its proper divisors (127872621571968).

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

38722199548032 is a wasteful number, since it uses less digits than its factorization.

38722199548032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 38722199548032 in words is "thirty-eight trillion, seven hundred twenty-two billion, one hundred ninety-nine million, five hundred forty-eight thousand, thirty-two".