38745734400 has 540 divisors, whose sum is σ = 147943281024. Its totient is φ = 9994752000.

The previous prime is 38745734393. The next prime is 38745734441. The reversal of 38745734400 is 443754783.

38745734400 is a `hidden beast` number, since 3 + 8 + 74 + 573 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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 59 ways as a sum of consecutive naturals, for example, 16069195 + ... + 16071605.

Almost surely, 2^38745734400 is an apocalyptic number.

38745734400 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 38745734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73971640512).

38745734400 is an abundant number, since it is smaller than the sum of its proper divisors (109197546624).

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

38745734400 is a wasteful number, since it uses less digits than its factorization.

38745734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 38745734400 in words is "thirty-eight billion, seven hundred forty-five million, seven hundred thirty-four thousand, four hundred".