38728922400 has 216 divisors, whose sum is σ = 156077760384. Its totient is φ = 8852313600.

The previous prime is 38728922389. The next prime is 38728922447. The reversal of 38728922400 is 422982783.

38728922400 is a `hidden beast` number, since 387 + 28 + 9 + 2 + 240 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 333816 + ... + 434615.

It is an arithmetic number, because the mean of its divisors is an integer number (722582224).

Almost surely, 2^38728922400 is an apocalyptic number.

38728922400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38728922400 is an abundant number, since it is smaller than the sum of its proper divisors (117348837984).

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

38728922400 is a wasteful number, since it uses less digits than its factorization.

38728922400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768464 (or 768448 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 38728922400 in words is "thirty-eight billion, seven hundred twenty-eight million, nine hundred twenty-two thousand, four hundred".