34065920 has 80 divisors (see below), whose sum is σ = 93395808. Its totient is φ = 11673600.

The previous prime is 34065919. The next prime is 34065947. The reversal of 34065920 is 2956043.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 16970 + ... + 18870.

Almost surely, 2^34065920 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 34065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46697904).

34065920 is an abundant number, since it is smaller than the sum of its proper divisors (59329888).

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

34065920 is an equidigital number, since it uses as much as digits as its factorization.

34065920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 34065920 is about 5836.6017510192. The cubic root of 34065920 is about 324.1704128171.

The spelling of 34065920 in words is "thirty-four million, sixty-five thousand, nine hundred twenty".