34109920 has 144 divisors (see below), whose sum is σ = 93647232. Its totient is φ = 11658240.

The previous prime is 34109903. The next prime is 34109923. The reversal of 34109920 is 2990143.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34109923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1100305 + ... + 1100335.

It is an arithmetic number, because the mean of its divisors is an integer number (650328).

Almost surely, 2^34109920 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 34109920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46823616).

34109920 is an abundant number, since it is smaller than the sum of its proper divisors (59537312).

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

34109920 is a wasteful number, since it uses less digits than its factorization.

34109920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 34109920 is about 5840.3698513022. The cubic root of 34109920 is about 324.3099203913.

The spelling of 34109920 in words is "thirty-four million, one hundred nine thousand, nine hundred twenty".