34113664 has 96 divisors (see below), whose sum is σ = 78397200. Its totient is φ = 14736384.

The previous prime is 34113647. The next prime is 34113691. The reversal of 34113664 is 46631143.

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 11 ways as a sum of consecutive naturals, for example, 410967 + ... + 411049.

Almost surely, 2^34113664 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 34113664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39198600).

34113664 is an abundant number, since it is smaller than the sum of its proper divisors (44283536).

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

34113664 is a wasteful number, since it uses less digits than its factorization.

34113664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 117 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 34113664 is about 5840.6903701532. The cubic root of 34113664 is about 324.3217856778.

The spelling of 34113664 in words is "thirty-four million, one hundred thirteen thousand, six hundred sixty-four".