38083872 has 96 divisors (see below), whose sum is σ = 105283584. Its totient is φ = 12038400.

The previous prime is 38083831. The next prime is 38083909. The reversal of 38083872 is 27838083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 38083872.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199297 + ... + 199487.

It is an arithmetic number, because the mean of its divisors is an integer number (1096704).

Almost surely, 2^38083872 is an apocalyptic number.

38083872 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 38083872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52641792).

38083872 is an abundant number, since it is smaller than the sum of its proper divisors (67199712).

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

38083872 is a wasteful number, since it uses less digits than its factorization.

38083872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 38083872 is about 6171.2131708441. The cubic root of 38083872 is about 336.4447059434. Note that the first 3 decimals are identical.

The spelling of 38083872 in words is "thirty-eight million, eighty-three thousand, eight hundred seventy-two".