8704238400 has 672 divisors, whose sum is σ = 37303862400. Its totient is φ = 1946419200.

The previous prime is 8704238399. The next prime is 8704238471. The reversal of 8704238400 is 48324078.

It is a super-2 number, since 2×8704238400² (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6176896 + ... + 6178304.

It is an arithmetic number, because the mean of its divisors is an integer number (55511700).

Almost surely, 2^8704238400 is an apocalyptic number.

8704238400 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 8704238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18651931200).

8704238400 is an abundant number, since it is smaller than the sum of its proper divisors (28599624000).

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

8704238400 is a wasteful number, since it uses less digits than its factorization.

8704238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 8704238400 is about 93296.5079732355. The cubic root of 8704238400 is about 2057.0440527942.

The spelling of 8704238400 in words is "eight billion, seven hundred four million, two hundred thirty-eight thousand, four hundred".