34929664 has 88 divisors (see below), whose sum is σ = 87251328. Its totient is φ = 13578240.

The previous prime is 34929647. The next prime is 34929673. The reversal of 34929664 is 46692943.

It is a tau number, because it is divible by the number of its divisors (88).

It is a self number, because there is not a number n which added to its sum of digits gives 34929664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78627 + ... + 79069.

Almost surely, 2^34929664 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 34929664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43625664).

34929664 is an abundant number, since it is smaller than the sum of its proper divisors (52321664).

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

34929664 is a wasteful number, since it uses less digits than its factorization.

34929664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 463 counting only the distinct ones).

The product of its digits is 279936, while the sum is 43.

The square root of 34929664 is about 5910.1323166237. The cubic root of 34929664 is about 326.8873662465.

The spelling of 34929664 in words is "thirty-four million, nine hundred twenty-nine thousand, six hundred sixty-four".