34195968 has 120 divisors (see below), whose sum is σ = 101657556. Its totient is φ = 11059200.

The previous prime is 34195951. The next prime is 34195979. The reversal of 34195968 is 86959143.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 22581504 + 11614464 = 4752^2 + 3408^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188838 + ... + 189018.

Almost surely, 2^34195968 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 34195968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50828778).

34195968 is an abundant number, since it is smaller than the sum of its proper divisors (67461588).

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

34195968 is a wasteful number, since it uses less digits than its factorization.

34195968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 227 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 34195968 is about 5847.7318679981. The cubic root of 34195968 is about 324.5824001354.

The spelling of 34195968 in words is "thirty-four million, one hundred ninety-five thousand, nine hundred sixty-eight".