34408 has 32 divisors (see below), whose sum is σ = 77760. Its totient is φ = 14080.

The previous prime is 34403. The next prime is 34421. The reversal of 34408 is 80443.

34408 is nontrivially palindromic in base 16.

It is not an unprimeable number, because it can be changed into a prime (34403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1485 + ... + 1507.

It is an arithmetic number, because the mean of its divisors is an integer number (2430).

2³⁴⁴⁰⁸ 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 34408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38880).

34408 is an abundant number, since it is smaller than the sum of its proper divisors (43352).

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

34408 is a wasteful number, since it uses less digits than its factorization.

34408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 34408 is about 185.4939352108. The cubic root of 34408 is about 32.5251875751.

The spelling of 34408 in words is "thirty-four thousand, four hundred eight".