38397542400 has 912 divisors, whose sum is σ = 166429665280. Its totient is φ = 8493465600.

The previous prime is 38397542383. The next prime is 38397542401. The reversal of 38397542400 is 424579383.

38397542400 is a `hidden beast` number, since 38 + 39 + 7 + 542 + 40 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38397542401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1238630385 + ... + 1238630415.

Almost surely, 2^38397542400 is an apocalyptic number.

38397542400 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 38397542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83214832640).

38397542400 is an abundant number, since it is smaller than the sum of its proper divisors (128032122880).

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

38397542400 is an frugal number, since it uses more digits than its factorization.

38397542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 38397542400 in words is "thirty-eight billion, three hundred ninety-seven million, five hundred forty-two thousand, four hundred".