38721312 has 72 divisors (see below), whose sum is σ = 125850816. Its totient is φ = 11062656.

The previous prime is 38721299. The next prime is 38721329. The reversal of 38721312 is 21312783.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7588 + ... + 11619.

It is an arithmetic number, because the mean of its divisors is an integer number (1747928).

Almost surely, 2^38721312 is an apocalyptic number.

38721312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38721312 is an abundant number, since it is smaller than the sum of its proper divisors (87129504).

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

38721312 is a wasteful number, since it uses less digits than its factorization.

38721312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19230 (or 19219 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 38721312 is about 6222.6450967414. The cubic root of 38721312 is about 338.3114433868.

It can be divided in two parts, 3872 and 1312, that added together give a square (5184 = 72²).

The spelling of 38721312 in words is "thirty-eight million, seven hundred twenty-one thousand, three hundred twelve".