38053312 has 56 divisors (see below), whose sum is σ = 83100672. Its totient is φ = 17145600.

The previous prime is 38053291. The next prime is 38053313. The reversal of 38053312 is 21335083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38053313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134323 + ... + 134605.

Almost surely, 2^38053312 is an apocalyptic number.

38053312 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 38053312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41550336).

38053312 is an abundant number, since it is smaller than the sum of its proper divisors (45047360).

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

38053312 is a wasteful number, since it uses less digits than its factorization.

38053312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 38053312 is about 6168.7366615864. The cubic root of 38053312 is about 336.3546896972.

Adding to 38053312 its reverse (21335083), we get a palindrome (59388395).

It can be divided in two parts, 3805 and 3312, that added together give a palindrome (7117).

The spelling of 38053312 in words is "thirty-eight million, fifty-three thousand, three hundred twelve".