34102120 has 32 divisors (see below), whose sum is σ = 82633320. Its totient is φ = 12591360.

The previous prime is 34102109. The next prime is 34102151. The reversal of 34102120 is 2120143.

It can be written as a sum of positive squares in 4 ways, for example, as 10850436 + 23251684 = 3294^2 + 4822^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 34102120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32271 + ... + 33310.

Almost surely, 2^34102120 is an apocalyptic number.

It is an amenable number.

34102120 is an abundant number, since it is smaller than the sum of its proper divisors (48531200).

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

34102120 is a wasteful number, since it uses less digits than its factorization.

34102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65605 (or 65601 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 34102120 is about 5839.7020471938. The cubic root of 34102120 is about 324.2851982555.

Adding to 34102120 its reverse (2120143), we get a palindrome (36222263).

The spelling of 34102120 in words is "thirty-four million, one hundred two thousand, one hundred twenty".