34085916 has 36 divisors (see below), whose sum is σ = 86361912. Its totient is φ = 11335584.

The previous prime is 34085899. The next prime is 34085929. The reversal of 34085916 is 61958043.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 20326 + ... + 21938.

It is an arithmetic number, because the mean of its divisors is an integer number (2398942).

Almost surely, 2^34085916 is an apocalyptic number.

34085916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34085916 is an abundant number, since it is smaller than the sum of its proper divisors (52275996).

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

34085916 is a wasteful number, since it uses less digits than its factorization.

34085916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2210 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 34085916 is about 5838.3144827938. The cubic root of 34085916 is about 324.2338275504.

The spelling of 34085916 in words is "thirty-four million, eighty-five thousand, nine hundred sixteen".