34659904 has 56 divisors (see below), whose sum is σ = 71506080. Its totient is φ = 16659456.

The previous prime is 34659899. The next prime is 34659931. The reversal of 34659904 is 40995643.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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, 252924 + ... + 253060.

Almost surely, 2^34659904 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 34659904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35753040).

34659904 is an abundant number, since it is smaller than the sum of its proper divisors (36846176).

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

34659904 is a wasteful number, since it uses less digits than its factorization.

34659904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 34659904 is about 5887.2662586297. The cubic root of 34659904 is about 326.0436791437.

The spelling of 34659904 in words is "thirty-four million, six hundred fifty-nine thousand, nine hundred four".