34069968 has 60 divisors (see below), whose sum is σ = 95912388. Its totient is φ = 11289600.

The previous prime is 34069957. The next prime is 34069991. The reversal of 34069968 is 86996043.

34069968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 15303744 + 18766224 = 3912^2 + 4332^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27768 + ... + 28968.

Almost surely, 2^34069968 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 34069968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47956194).

34069968 is an abundant number, since it is smaller than the sum of its proper divisors (61842420).

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

34069968 is a wasteful number, since it uses less digits than its factorization.

34069968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 34069968 is about 5836.9485178473. The cubic root of 34069968 is about 324.1832525296.

The spelling of 34069968 in words is "thirty-four million, sixty-nine thousand, nine hundred sixty-eight".