38582621095872 has 672 divisors, whose sum is σ = 129892972640256. Its totient is φ = 10032596582400.

The previous prime is 38582621095859. The next prime is 38582621095877. The reversal of 38582621095872 is 27859012628583.

38582621095872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38582621095877) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 8978964828 + ... + 8978969124.

It is an arithmetic number, because the mean of its divisors is an integer number (193293114048).

Almost surely, 2^{38582621095872} is an apocalyptic number.

38582621095872 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 38582621095872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64946486320128).

38582621095872 is an abundant number, since it is smaller than the sum of its proper divisors (91310351544384).

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

38582621095872 is a wasteful number, since it uses less digits than its factorization.

38582621095872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6185 (or 6168 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 66.

The spelling of 38582621095872 in words is "thirty-eight trillion, five hundred eighty-two billion, six hundred twenty-one million, ninety-five thousand, eight hundred seventy-two".