8324134400 has 120 divisors (see below), whose sum is σ = 20858274360. Its totient is φ = 3291791360.

The previous prime is 8324134391. The next prime is 8324134453. The reversal of 8324134400 is 44314238.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1135547 + ... + 1142853.

It is an arithmetic number, because the mean of its divisors is an integer number (173818953).

Almost surely, 2^8324134400 is an apocalyptic number.

8324134400 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 8324134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10429137180).

8324134400 is an abundant number, since it is smaller than the sum of its proper divisors (12534139960).

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

8324134400 is an equidigital number, since it uses as much as digits as its factorization.

8324134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7424 (or 7403 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 8324134400 is about 91236.6943723851. The cubic root of 8324134400 is about 2026.6543935853.

Adding to 8324134400 its reverse (44314238), we get a palindrome (8368448638).

The spelling of 8324134400 in words is "eight billion, three hundred twenty-four million, one hundred thirty-four thousand, four hundred".