4324688400 has 120 divisors (see below), whose sum is σ = 13877147520. Its totient is φ = 1151275520.

The previous prime is 4324688393. The next prime is 4324688437. The reversal of 4324688400 is 48864234.

It is a tau number, because it is divible by the number of its divisors (120).

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, 780841 + ... + 786359.

It is an arithmetic number, because the mean of its divisors is an integer number (115642896).

Almost surely, 2^4324688400 is an apocalyptic number.

4324688400 is a gapful number since it is divisible by the number (40) 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 4324688400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6938573760).

4324688400 is an abundant number, since it is smaller than the sum of its proper divisors (9552459120).

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

4324688400 is a wasteful number, since it uses less digits than its factorization.

4324688400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6193 (or 6182 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 4324688400 is about 65762.3630962270. The cubic root of 4324688400 is about 1629.2395363680.

The spelling of 4324688400 in words is "four billion, three hundred twenty-four million, six hundred eighty-eight thousand, four hundred".