34168096 has 48 divisors (see below), whose sum is σ = 72013536. Its totient is φ = 15901696.

The previous prime is 34168091. The next prime is 34168103. The reversal of 34168096 is 69086143.

It is not an unprimeable number, because it can be changed into a prime (34168091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57915 + ... + 58501.

It is an arithmetic number, because the mean of its divisors is an integer number (1500282).

Almost surely, 2^34168096 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 34168096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36006768).

34168096 is an abundant number, since it is smaller than the sum of its proper divisors (37845440).

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

34168096 is a wasteful number, since it uses less digits than its factorization.

34168096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 34168096 is about 5845.3482359907. The cubic root of 34168096 is about 324.4941907138.

The spelling of 34168096 in words is "thirty-four million, one hundred sixty-eight thousand, ninety-six".