38008 has 8 divisors (see below), whose sum is σ = 71280. Its totient is φ = 19000.

The previous prime is 37997. The next prime is 38011. The reversal of 38008 is 80083.

It is a tau number, because it is divible by the number of its divisors (8).

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

38008 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 as a sum of consecutive naturals, namely, 2368 + ... + 2383.

It is an arithmetic number, because the mean of its divisors is an integer number (8910).

2³⁸⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

38008 is a deficient number, since it is larger than the sum of its proper divisors (33272).

38008 is a wasteful number, since it uses less digits than its factorization.

38008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4757 (or 4753 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 38008 is about 194.9564053834. The cubic root of 38008 is about 33.6221131834.

The spelling of 38008 in words is "thirty-eight thousand, eight".