38872320 has 144 divisors (see below), whose sum is σ = 127153152. Its totient is φ = 10117120.

The previous prime is 38872307. The next prime is 38872367. The reversal of 38872320 is 2327883.

It is a happy number.

It is a super-2 number, since 2×38872320² = 3022114524364800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203425 + ... + 203615.

It is an arithmetic number, because the mean of its divisors is an integer number (883008).

Almost surely, 2^38872320 is an apocalyptic number.

38872320 is a gapful number since it is divisible by the number (30) 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 38872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63576576).

38872320 is an abundant number, since it is smaller than the sum of its proper divisors (88280832).

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

38872320 is a wasteful number, since it uses less digits than its factorization.

38872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 38872320 is about 6234.7670365460. The cubic root of 38872320 is about 338.7506628891.

The spelling of 38872320 in words is "thirty-eight million, eight hundred seventy-two thousand, three hundred twenty".