38404879537920 has 576 divisors, whose sum is σ = 146144365323264. Its totient is φ = 8412323512320.

The previous prime is 38404879537891. The next prime is 38404879537931. The reversal of 38404879537920 is 2973597840483.

38404879537920 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 63 ways as a sum of consecutive naturals, for example, 60946060 + ... + 61572980.

It is an arithmetic number, because the mean of its divisors is an integer number (253722856464).

Almost surely, 2^{38404879537920} is an apocalyptic number.

38404879537920 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 38404879537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73072182661632).

38404879537920 is an abundant number, since it is smaller than the sum of its proper divisors (107739485785344).

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

38404879537920 is a wasteful number, since it uses less digits than its factorization.

38404879537920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627048 (or 627034 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 69.

The spelling of 38404879537920 in words is "thirty-eight trillion, four hundred four billion, eight hundred seventy-nine million, five hundred thirty-seven thousand, nine hundred twenty".