38824790400 has 1344 divisors, whose sum is σ = 167964807600. Its totient is φ = 8758886400.

The previous prime is 38824790369. The next prime is 38824790401. The reversal of 38824790400 is 409742883.

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 (38824790401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 436233556 + ... + 436233644.

Almost surely, 2^38824790400 is an apocalyptic number.

38824790400 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 38824790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83982403800).

38824790400 is an abundant number, since it is smaller than the sum of its proper divisors (129140017200).

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

38824790400 is a wasteful number, since it uses less digits than its factorization.

38824790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 38824790400 in words is "thirty-eight billion, eight hundred twenty-four million, seven hundred ninety thousand, four hundred".