38932166400 has 216 divisors, whose sum is σ = 128673274800. Its totient is φ = 10366648320.

The previous prime is 38932166387. The next prime is 38932166431. The reversal of 38932166400 is 466123983.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20139834 + ... + 20141766.

Almost surely, 2^38932166400 is an apocalyptic number.

38932166400 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 38932166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64336637400).

38932166400 is an abundant number, since it is smaller than the sum of its proper divisors (89741108400).

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

38932166400 is a wasteful number, since it uses less digits than its factorization.

38932166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3011 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 38932166400 in words is "thirty-eight billion, nine hundred thirty-two million, one hundred sixty-six thousand, four hundred".