38492236800 has 660 divisors, whose sum is σ = 150187489320. Its totient is φ = 9714401280.

The previous prime is 38492236777. The next prime is 38492236801. The reversal of 38492236800 is 863229483.

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

It is not an unprimeable number, because it can be changed into a prime (38492236801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 39397912 + ... + 39398888.

It is an arithmetic number, because the mean of its divisors is an integer number (227556802).

Almost surely, 2^38492236800 is an apocalyptic number.

38492236800 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 38492236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75093744660).

38492236800 is an abundant number, since it is smaller than the sum of its proper divisors (111695252520).

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

38492236800 is a wasteful number, since it uses less digits than its factorization.

38492236800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 38492236800 in words is "thirty-eight billion, four hundred ninety-two million, two hundred thirty-six thousand, eight hundred".