38542468800 has 252 divisors, whose sum is σ = 138994147208. Its totient is φ = 9343488000.

The previous prime is 38542468771. The next prime is 38542468831. The reversal of 38542468800 is 886424583.

38542468800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 38542468800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 547620 + ... + 613980.

Almost surely, 2^38542468800 is an apocalyptic number.

38542468800 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 38542468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69497073604).

38542468800 is an abundant number, since it is smaller than the sum of its proper divisors (100451678408).

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

38542468800 is a wasteful number, since it uses less digits than its factorization.

38542468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66408 (or 66382 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 38542468800 in words is "thirty-eight billion, five hundred forty-two million, four hundred sixty-eight thousand, eight hundred".