34832 has 20 divisors (see below), whose sum is σ = 77376. Its totient is φ = 14880.

The previous prime is 34819. The next prime is 34841. The reversal of 34832 is 23843.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 3 + 4 + 8⁵ + 3² + 2¹¹ .

It is a nialpdrome in base 16.

It is an unprimeable number.

34832 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 (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44 + ... + 267.

2³⁴⁸³² is an apocalyptic number.

It is an amenable number.

34832 is an abundant number, since it is smaller than the sum of its proper divisors (42544).

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 (38688).

34832 is a wasteful number, since it uses less digits than its factorization.

34832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 320 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 34832 is about 186.6333303566. The cubic root of 34832 is about 32.6582420776.

The spelling of 34832 in words is "thirty-four thousand, eight hundred thirty-two".