34116096 has 160 divisors (see below), whose sum is σ = 109992960. Its totient is φ = 9179136.

The previous prime is 34116079. The next prime is 34116113. The reversal of 34116096 is 69061143.

It is an interprime number because it is at equal distance from previous prime (34116079) and next prime (34116113).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204205 + ... + 204371.

It is an arithmetic number, because the mean of its divisors is an integer number (687456).

Almost surely, 2^34116096 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 34116096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54996480).

34116096 is an abundant number, since it is smaller than the sum of its proper divisors (75876864).

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

34116096 is a wasteful number, since it uses less digits than its factorization.

34116096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 34116096 is about 5840.8985610093. The cubic root of 34116096 is about 324.3294925783.

The spelling of 34116096 in words is "thirty-four million, one hundred sixteen thousand, ninety-six".