34790 has 24 divisors (see below), whose sum is σ = 73872. Its totient is φ = 11760.

The previous prime is 34781. The next prime is 34807. The reversal of 34790 is 9743.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 455 + ... + 525.

It is an arithmetic number, because the mean of its divisors is an integer number (3078).

2³⁴⁷⁹⁰ is an apocalyptic number.

34790 is an abundant number, since it is smaller than the sum of its proper divisors (39082).

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 (36936).

34790 is a wasteful number, since it uses less digits than its factorization.

34790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 34790 is about 186.5207763226. The cubic root of 34790 is about 32.6451104951.

The spelling of 34790 in words is "thirty-four thousand, seven hundred ninety".