8234682400 has 144 divisors (see below), whose sum is σ = 23013777024. Its totient is φ = 2818529280.

The previous prime is 8234682397. The next prime is 8234682457. The reversal of 8234682400 is 42864328.

It is a self number, because there is not a number n which added to its sum of digits gives 8234682400.

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, 5336029 + ... + 5337571.

It is an arithmetic number, because the mean of its divisors is an integer number (159817896).

Almost surely, 2^8234682400 is an apocalyptic number.

8234682400 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 8234682400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11506888512).

8234682400 is an abundant number, since it is smaller than the sum of its proper divisors (14779094624).

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

8234682400 is a wasteful number, since it uses less digits than its factorization.

8234682400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2523 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The square root of 8234682400 is about 90745.1508346314. The cubic root of 8234682400 is about 2019.3686881196.

The spelling of 8234682400 in words is "eight billion, two hundred thirty-four million, six hundred eighty-two thousand, four hundred".