34996896 has 72 divisors (see below), whose sum is σ = 108579744. Its totient is φ = 10604160.

The previous prime is 34996889. The next prime is 34996909. The reversal of 34996896 is 69869943.

It is a happy number.

34996896 is a `hidden beast` number, since 3 + 499 + 68 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

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, 2356 + ... + 8691.

It is an arithmetic number, because the mean of its divisors is an integer number (1508052).

Almost surely, 2^34996896 is an apocalyptic number.

34996896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34996896 is an abundant number, since it is smaller than the sum of its proper divisors (73582848).

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

34996896 is a wasteful number, since it uses less digits than its factorization.

34996896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11074 (or 11063 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 34996896 is about 5915.8174414023. The cubic root of 34996896 is about 327.0969608379.

The spelling of 34996896 in words is "thirty-four million, nine hundred ninety-six thousand, eight hundred ninety-six".