8737294400 has 168 divisors, whose sum is σ = 22871765280. Its totient is φ = 3275735040.

The previous prime is 8737294373. The next prime is 8737294421. The reversal of 8737294400 is 44927378.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2947319 + ... + 2950281.

It is an arithmetic number, because the mean of its divisors is an integer number (136141460).

Almost surely, 2^8737294400 is an apocalyptic number.

8737294400 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 8737294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11435882640).

8737294400 is an abundant number, since it is smaller than the sum of its proper divisors (14134470880).

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

8737294400 is a wasteful number, since it uses less digits than its factorization.

8737294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3101 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 44.

The square root of 8737294400 is about 93473.4957086767. The cubic root of 8737294400 is about 2059.6447686080.

The spelling of 8737294400 in words is "eight billion, seven hundred thirty-seven million, two hundred ninety-four thousand, four hundred".