34656896 has 32 divisors (see below), whose sum is σ = 70007700. Its totient is φ = 17086464.

The previous prime is 34656871. The next prime is 34656949. The reversal of 34656896 is 69865643.

It can be written as a sum of positive squares in 2 ways, for example, as 34386496 + 270400 = 5864^2 + 520^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×34656896² = 2402200880709632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34656896.

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 3 ways as a sum of consecutive naturals, for example, 7490 + ... + 11198.

Almost surely, 2^34656896 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 34656896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35003850).

34656896 is an abundant number, since it is smaller than the sum of its proper divisors (35350804).

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

34656896 is an equidigital number, since it uses as much as digits as its factorization.

34656896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3796 (or 3784 counting only the distinct ones).

The product of its digits is 933120, while the sum is 47.

The square root of 34656896 is about 5887.0107864688. The cubic root of 34656896 is about 326.0342468444.

The spelling of 34656896 in words is "thirty-four million, six hundred fifty-six thousand, eight hundred ninety-six".