38457748800 has 126 divisors (see below), whose sum is σ = 136687970718. Its totient is φ = 10255395840.

The previous prime is 38457748783. The next prime is 38457748831. The reversal of 38457748800 is 884775483.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7813145664 + 30644603136 = 88392^2 + 175056^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1320939 + ... + 1349738.

Almost surely, 2^38457748800 is an apocalyptic number.

38457748800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38457748800 is an abundant number, since it is smaller than the sum of its proper divisors (98230221918).

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

38457748800 is a wasteful number, since it uses less digits than its factorization.

38457748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670705 (or 2670687 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 38457748800 in words is "thirty-eight billion, four hundred fifty-seven million, seven hundred forty-eight thousand, eight hundred".