38304944991936 has 420 divisors, whose sum is σ = 132107855418000. Its totient is φ = 10942482668544.

The previous prime is 38304944991917. The next prime is 38304944991941. The reversal of 38304944991936 is 63919944940383.

38304944991936 is a `hidden beast` number, since 3 + 8 + 3 + 0 + 4 + 9 + 449 + 91 + 93 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2895521770 + ... + 2895534998.

It is an arithmetic number, because the mean of its divisors is an integer number (314542512900).

Almost surely, 2^{38304944991936} is an apocalyptic number.

38304944991936 is a gapful number since it is divisible by the number (36) 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 38304944991936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66053927709000).

38304944991936 is an abundant number, since it is smaller than the sum of its proper divisors (93802910426064).

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

38304944991936 is a wasteful number, since it uses less digits than its factorization.

38304944991936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24666 (or 24640 counting only the distinct ones).

The product of its (nonzero) digits is 544195584, while the sum is 72.

The spelling of 38304944991936 in words is "thirty-eight trillion, three hundred four billion, nine hundred forty-four million, nine hundred ninety-one thousand, nine hundred thirty-six".