38337264 has 120 divisors (see below), whose sum is σ = 124536672. Its totient is φ = 10782720.

The previous prime is 38337263. The next prime is 38337293. The reversal of 38337264 is 46273383.

38337264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38337264² = 2939491622011392, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38337263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73324 + ... + 73844.

Almost surely, 2^38337264 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 38337264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62268336).

38337264 is an abundant number, since it is smaller than the sum of its proper divisors (86199408).

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

38337264 is a wasteful number, since it uses less digits than its factorization.

38337264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 606 counting only the distinct ones).

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

The square root of 38337264 is about 6191.7092955015. The cubic root of 38337264 is about 337.1892382258.

The spelling of 38337264 in words is "thirty-eight million, three hundred thirty-seven thousand, two hundred sixty-four".