34205920 has 72 divisors (see below), whose sum is σ = 94026744. Its totient is φ = 11725056.

The previous prime is 34205881. The next prime is 34205939. The reversal of 34205920 is 2950243.

It is a happy number.

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, 5659 + ... + 10021.

It is an arithmetic number, because the mean of its divisors is an integer number (1305927).

Almost surely, 2^34205920 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 34205920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47013372).

34205920 is an abundant number, since it is smaller than the sum of its proper divisors (59820824).

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

34205920 is a wasteful number, since it uses less digits than its factorization.

34205920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4392 (or 4377 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 34205920 is about 5848.5827343041. The cubic root of 34205920 is about 324.6138846537.

The spelling of 34205920 in words is "thirty-four million, two hundred five thousand, nine hundred twenty".