38792096000 has 576 divisors, whose sum is σ = 119566347264. Its totient is φ = 12238848000.

The previous prime is 38792095961. The next prime is 38792096009. The reversal of 38792096000 is 69029783.

It is not an unprimeable number, because it can be changed into a prime (38792096009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 232287917 + ... + 232288083.

It is an arithmetic number, because the mean of its divisors is an integer number (207580464).

Almost surely, 2^38792096000 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 38792096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59783173632).

38792096000 is an abundant number, since it is smaller than the sum of its proper divisors (80774251264).

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

38792096000 is a wasteful number, since it uses less digits than its factorization.

38792096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The spelling of 38792096000 in words is "thirty-eight billion, seven hundred ninety-two million, ninety-six thousand".