38413312 has 88 divisors (see below), whose sum is σ = 91967616. Its totient is φ = 15679488.

The previous prime is 38413301. The next prime is 38413327. The reversal of 38413312 is 21331483.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164748 + ... + 164980.

Almost surely, 2^38413312 is an apocalyptic number.

38413312 is a gapful number since it is divisible by the number (32) 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 38413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45983808).

38413312 is an abundant number, since it is smaller than the sum of its proper divisors (53554304).

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

38413312 is a wasteful number, since it uses less digits than its factorization.

38413312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 265 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 38413312 is about 6197.8473682400. The cubic root of 38413312 is about 337.4120469487.

Adding to 38413312 its reverse (21331483), we get a palindrome (59744795).

The spelling of 38413312 in words is "thirty-eight million, four hundred thirteen thousand, three hundred twelve".