8904038400 has 720 divisors, whose sum is σ = 35021586600. Its totient is φ = 2229534720.

The previous prime is 8904038399. The next prime is 8904038447. The reversal of 8904038400 is 48304098.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 78796744 + ... + 78796856.

Almost surely, 2^8904038400 is an apocalyptic number.

8904038400 is a gapful number since it is divisible by the number (80) 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 8904038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17510793300).

8904038400 is an abundant number, since it is smaller than the sum of its proper divisors (26117548200).

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

8904038400 is a wasteful number, since it uses less digits than its factorization.

8904038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8904038400 is about 94361.2123703378. The cubic root of 8904038400 is about 2072.6644957063.

The spelling of 8904038400 in words is "eight billion, nine hundred four million, thirty-eight thousand, four hundred".