9038368 has 36 divisors (see below), whose sum is σ = 18450558. Its totient is φ = 4355840.

The previous prime is 9038347. The next prime is 9038369. The reversal of 9038368 is 8638309.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8928144 + 110224 = 2988^2 + 332^2 .

It is a super-2 number, since 2×9038368² = 163384192206848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (9038369) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 108855 + ... + 108937.

Almost surely, 2^9038368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9038368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9225279).

9038368 is an abundant number, since it is smaller than the sum of its proper divisors (9412190).

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

9038368 is an equidigital number, since it uses as much as digits as its factorization.

9038368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 9038368 is about 3006.3878658616. The cubic root of 9038368 is about 208.3035508715.

The spelling of 9038368 in words is "nine million, thirty-eight thousand, three hundred sixty-eight".