9338400 has 108 divisors (see below), whose sum is σ = 32954922. Its totient is φ = 2488320.

The previous prime is 9338387. The next prime is 9338401. The reversal of 9338400 is 48339.

9338400 is digitally balanced in base 5, 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 3 ways, for example, as 9072144 + 266256 = 3012^2 + 516^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9338401) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 6552 + ... + 7848.

Almost surely, 2^9338400 is an apocalyptic number.

9338400 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 9338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16477461).

9338400 is an abundant number, since it is smaller than the sum of its proper divisors (23616522).

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

9338400 is a wasteful number, since it uses less digits than its factorization.

9338400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 9338400 is about 3055.8795787792. The cubic root of 9338400 is about 210.5834117068.

The spelling of 9338400 in words is "nine million, three hundred thirty-eight thousand, four hundred".