38721758400 has 1008 divisors, whose sum is σ = 157935558144. Its totient is φ = 9271480320.

The previous prime is 38721758359. The next prime is 38721758423. The reversal of 38721758400 is 485712783.

38721758400 is a `hidden beast` number, since 3 + 8 + 72 + 175 + 8 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 237556719 + ... + 237556881.

Almost surely, 2^38721758400 is an apocalyptic number.

38721758400 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 38721758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78967779072).

38721758400 is an abundant number, since it is smaller than the sum of its proper divisors (119213799744).

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

38721758400 is a wasteful number, since it uses less digits than its factorization.

38721758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 38721758400 in words is "thirty-eight billion, seven hundred twenty-one million, seven hundred fifty-eight thousand, four hundred".