38329933824 has 672 divisors, whose sum is σ = 141690669120. Its totient is φ = 9710862336.

The previous prime is 38329933801. The next prime is 38329933861. The reversal of 38329933824 is 42833992383.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194568094 + ... + 194568290.

It is an arithmetic number, because the mean of its divisors is an integer number (210849210).

Almost surely, 2^38329933824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38329933824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70845334560).

38329933824 is an abundant number, since it is smaller than the sum of its proper divisors (103360735296).

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

38329933824 is a wasteful number, since it uses less digits than its factorization.

38329933824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 251 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 38329933824 in words is "thirty-eight billion, three hundred twenty-nine million, nine hundred thirty-three thousand, eight hundred twenty-four".