38093979264 has 256 divisors, whose sum is σ = 115734389760. Its totient is φ = 10989158400.

The previous prime is 38093979229. The next prime is 38093979281. The reversal of 38093979264 is 46297939083.

It is a junction number, because it is equal to n+sod(n) for n = 38093979198 and 38093979207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23412819 + ... + 23414445.

It is an arithmetic number, because the mean of its divisors is an integer number (452087460).

Almost surely, 2^38093979264 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 38093979264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57867194880).

38093979264 is an abundant number, since it is smaller than the sum of its proper divisors (77640410496).

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

38093979264 is a wasteful number, since it uses less digits than its factorization.

38093979264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 60.

The spelling of 38093979264 in words is "thirty-eight billion, ninety-three million, nine hundred seventy-nine thousand, two hundred sixty-four".