34107920 has 160 divisors (see below), whose sum is σ = 101779200. Its totient is φ = 10536960.

The previous prime is 34107917. The next prime is 34107949. The reversal of 34107920 is 2970143.

It is a self number, because there is not a number n which added to its sum of digits gives 34107920.

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 31 ways as a sum of consecutive naturals, for example, 301784 + ... + 301896.

It is an arithmetic number, because the mean of its divisors is an integer number (636120).

Almost surely, 2^34107920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34107920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50889600).

34107920 is an abundant number, since it is smaller than the sum of its proper divisors (67671280).

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

34107920 is a wasteful number, since it uses less digits than its factorization.

34107920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 34107920 is about 5840.1986267592. The cubic root of 34107920 is about 324.3035817415.

The spelling of 34107920 in words is "thirty-four million, one hundred seven thousand, nine hundred twenty".