39008 has 24 divisors (see below), whose sum is σ = 81648. Its totient is φ = 18304.

The previous prime is 38993. The next prime is 39019. The reversal of 39008 is 80093.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

39008 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 710 + ... + 762.

It is an arithmetic number, because the mean of its divisors is an integer number (3402).

2³⁹⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40824).

39008 is an abundant number, since it is smaller than the sum of its proper divisors (42640).

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

39008 is a wasteful number, since it uses less digits than its factorization.

39008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 39008 is about 197.5044303301. The cubic root of 39008 is about 33.9144330487.

The spelling of 39008 in words is "thirty-nine thousand, eight".