34338 has 16 divisors (see below), whose sum is σ = 70560. Its totient is φ = 11136.

The previous prime is 34337. The next prime is 34351. The reversal of 34338 is 83343.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (34337) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 306 + ... + 402.

It is an arithmetic number, because the mean of its divisors is an integer number (4410).

2³⁴³³⁸ is an apocalyptic number.

34338 is an abundant number, since it is smaller than the sum of its proper divisors (36222).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35280).

34338 is a wasteful number, since it uses less digits than its factorization.

34338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161.

The product of its digits is 864, while the sum is 21.

The square root of 34338 is about 185.3051537330. The cubic root of 34338 is about 32.5031160720.

The spelling of 34338 in words is "thirty-four thousand, three hundred thirty-eight".