8739354400 has 144 divisors (see below), whose sum is σ = 24950528064. Its totient is φ = 2926586880.

The previous prime is 8739354391. The next prime is 8739354431. The reversal of 8739354400 is 44539378.

It is a Harshad number since it is a multiple of its sum of digits (43).

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, 222654 + ... + 258946.

It is an arithmetic number, because the mean of its divisors is an integer number (173267556).

Almost surely, 2^8739354400 is an apocalyptic number.

8739354400 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 8739354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12475264032).

8739354400 is an abundant number, since it is smaller than the sum of its proper divisors (16211173664).

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

8739354400 is a wasteful number, since it uses less digits than its factorization.

8739354400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36363 (or 36350 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The square root of 8739354400 is about 93484.5142256192. The cubic root of 8739354400 is about 2059.8066240072.

The spelling of 8739354400 in words is "eight billion, seven hundred thirty-nine million, three hundred fifty-four thousand, four hundred".