34008 has 32 divisors (see below), whose sum is σ = 92400. Its totient is φ = 10368.

The previous prime is 33997. The next prime is 34019. The reversal of 34008 is 80043.

34008 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (33997) and next prime (34019).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258 + ... + 366.

2³⁴⁰⁰⁸ 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 34008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46200).

34008 is an abundant number, since it is smaller than the sum of its proper divisors (58392).

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

34008 is a wasteful number, since it uses less digits than its factorization.

34008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 34008 is about 184.4125809157. The cubic root of 34008 is about 32.3986586855.

The spelling of 34008 in words is "thirty-four thousand, eight".