9374112400 has 135 divisors (see below), whose sum is σ = 23236250601. Its totient is φ = 3634235520.

The previous prime is 9374112373. The next prime is 9374112401. The reversal of 9374112400 is 42114739.

The square root of 9374112400 is 96820.

It is a perfect power (a square), and thus also a powerful number.

9374112400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3374680464 + 5999431936 = 58092^2 + 77456^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9374112401) 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 26 ways as a sum of consecutive naturals, for example, 91010749 + ... + 91010851.

Almost surely, 2^9374112400 is an apocalyptic number.

9374112400 is the 96820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9374112400

9374112400 is an abundant number, since it is smaller than the sum of its proper divisors (13862138201).

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

9374112400 is a wasteful number, since it uses less digits than its factorization.

9374112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The cubic root of 9374112400 is about 2108.5151161912.

The spelling of 9374112400 in words is "nine billion, three hundred seventy-four million, one hundred twelve thousand, four hundred".