34099120 has 40 divisors (see below), whose sum is σ = 86490000. Its totient is φ = 12399360.

The previous prime is 34099073. The next prime is 34099141. The reversal of 34099120 is 2199043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

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, 18495 + ... + 20254.

It is an arithmetic number, because the mean of its divisors is an integer number (2162250).

Almost surely, 2^34099120 is an apocalyptic number.

It is an amenable number.

34099120 is an abundant number, since it is smaller than the sum of its proper divisors (52390880).

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

34099120 is a wasteful number, since it uses less digits than its factorization.

34099120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38773 (or 38767 counting only the distinct ones).

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

The square root of 34099120 is about 5839.4451791245. The cubic root of 34099120 is about 324.2756887380.

The spelling of 34099120 in words is "thirty-four million, ninety-nine thousand, one hundred twenty".