4323794400 has 432 divisors, whose sum is σ = 15884170848. Its totient is φ = 1105920000.

The previous prime is 4323794393. The next prime is 4323794407. The reversal of 4323794400 is 44973234.

It is an interprime number because it is at equal distance from previous prime (4323794393) and next prime (4323794407).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4323794407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28634325 + ... + 28634475.

It is an arithmetic number, because the mean of its divisors is an integer number (36768914).

Almost surely, 2^4323794400 is an apocalyptic number.

4323794400 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 4323794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7942085424).

4323794400 is an abundant number, since it is smaller than the sum of its proper divisors (11560376448).

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

4323794400 is a wasteful number, since it uses less digits than its factorization.

4323794400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 4323794400 is about 65755.5655439142. The cubic root of 4323794400 is about 1629.1272631137.

The spelling of 4323794400 in words is "four billion, three hundred twenty-three million, seven hundred ninety-four thousand, four hundred".