38325548800 has 432 divisors, whose sum is σ = 119821830912. Its totient is φ = 11789107200.

The previous prime is 38325548783. The next prime is 38325548809. The reversal of 38325548800 is 884552383.

It is a happy number.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38325548809) 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, 40901932 + ... + 40902868.

Almost surely, 2^38325548800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38325548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59910915456).

38325548800 is an abundant number, since it is smaller than the sum of its proper divisors (81496282112).

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

38325548800 is a wasteful number, since it uses less digits than its factorization.

38325548800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 46.

The spelling of 38325548800 in words is "thirty-eight billion, three hundred twenty-five million, five hundred forty-eight thousand, eight hundred".