34608 has 40 divisors (see below), whose sum is σ = 103168. Its totient is φ = 9792.

The previous prime is 34607. The next prime is 34613. The reversal of 34608 is 80643.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a nialpdrome in base 14 and base 16.

It is not an unprimeable number, because it can be changed into a prime (34603) 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, 285 + ... + 387.

2³⁴⁶⁰⁸ 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 34608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51584).

34608 is an abundant number, since it is smaller than the sum of its proper divisors (68560).

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

34608 is a wasteful number, since it uses less digits than its factorization.

34608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 34608 is about 186.0322552677. The cubic root of 34608 is about 32.5880845209.

It can be divided in two parts, 3 and 4608, that multiplied together give a cube (13824 = 24³).

The spelling of 34608 in words is "thirty-four thousand, six hundred eight".