9344426400 has 216 divisors, whose sum is σ = 34087779180. Its totient is φ = 2405867520.

The previous prime is 9344426389. The next prime is 9344426411. The reversal of 9344426400 is 46244439.

9344426400 is a `hidden beast` number, since 9 + 3 + 4 + 4 + 4 + 2 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9344426389) and next prime (9344426411).

It can be written as a sum of positive squares in 6 ways, for example, as 2738638224 + 6605788176 = 52332^2 + 81276^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 186424 + ... + 231176.

Almost surely, 2^9344426400 is an apocalyptic number.

9344426400 is a gapful number since it is divisible by the number (90) 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 9344426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17043889590).

9344426400 is an abundant number, since it is smaller than the sum of its proper divisors (24743352780).

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

9344426400 is a wasteful number, since it uses less digits than its factorization.

9344426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44808 (or 44792 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 9344426400 is about 96666.5733332883. The cubic root of 9344426400 is about 2106.2870094199.

The spelling of 9344426400 in words is "nine billion, three hundred forty-four million, four hundred twenty-six thousand, four hundred".