34120 has 16 divisors (see below), whose sum is σ = 76860. Its totient is φ = 13632.

The previous prime is 34061. The next prime is 34123. The reversal of 34120 is 2143.

It can be written as a sum of positive squares in 2 ways, for example, as 30276 + 3844 = 174^2 + 62^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 34097 and 34106.

It is not an unprimeable number, because it can be changed into a prime (34123) 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 3 ways as a sum of consecutive naturals, for example, 387 + ... + 466.

2³⁴¹²⁰ is an apocalyptic number.

It is an amenable number.

34120 is an abundant number, since it is smaller than the sum of its proper divisors (42740).

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 (38430).

34120 is a wasteful number, since it uses less digits than its factorization.

34120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 34120 is about 184.7159982243. The cubic root of 34120 is about 32.4341863416.

Adding to 34120 its reverse (2143), we get a palindrome (36263).

It can be divided in two parts, 341 and 20, that added together give a square (361 = 19²).

The spelling of 34120 in words is "thirty-four thousand, one hundred twenty".