34520 has 16 divisors (see below), whose sum is σ = 77760. Its totient is φ = 13792.

The previous prime is 34519. The next prime is 34537. The reversal of 34520 is 2543.

34520 = T₁₁₅ + T₁₁₆ + ... + T₁₁₉.

34520 is nontrivially palindromic in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 34495 and 34504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 392 + ... + 471.

It is an arithmetic number, because the mean of its divisors is an integer number (4860).

2³⁴⁵²⁰ is an apocalyptic number.

It is an amenable number.

34520 is an abundant number, since it is smaller than the sum of its proper divisors (43240).

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 (38880).

34520 is a wasteful number, since it uses less digits than its factorization.

34520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 34520 is about 185.7955865999. The cubic root of 34520 is about 32.5604397995.

The spelling of 34520 in words is "thirty-four thousand, five hundred twenty".