8394734400 has 336 divisors, whose sum is σ = 30689702400. Its totient is φ = 1994711040.

The previous prime is 8394734357. The next prime is 8394734423. The reversal of 8394734400 is 44374938.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1807281 + ... + 1811919.

It is an arithmetic number, because the mean of its divisors is an integer number (91338400).

Almost surely, 2^8394734400 is an apocalyptic number.

8394734400 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 8394734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15344851200).

8394734400 is an abundant number, since it is smaller than the sum of its proper divisors (22294968000).

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

8394734400 is a wasteful number, since it uses less digits than its factorization.

8394734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4706 (or 4691 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 8394734400 is about 91622.7831928282. The cubic root of 8394734400 is about 2032.3678679673.

The spelling of 8394734400 in words is "eight billion, three hundred ninety-four million, seven hundred thirty-four thousand, four hundred".