34339968 has 96 divisors (see below), whose sum is σ = 106464540. Its totient is φ = 10561536.

The previous prime is 34339961. The next prime is 34339997. The reversal of 34339968 is 86993343.

It can be written as a sum of positive squares in 2 ways, for example, as 31270464 + 3069504 = 5592^2 + 1752^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34339961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13830 + ... + 16122.

Almost surely, 2^34339968 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 34339968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53232270).

34339968 is an abundant number, since it is smaller than the sum of its proper divisors (72124572).

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

34339968 is a wasteful number, since it uses less digits than its factorization.

34339968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2311 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 34339968 is about 5860.0313992333. The cubic root of 34339968 is about 325.0373700618.

The spelling of 34339968 in words is "thirty-four million, three hundred thirty-nine thousand, nine hundred sixty-eight".