33408096 has 24 divisors (see below), whose sum is σ = 87696504. Its totient is φ = 11136000.

The previous prime is 33408091. The next prime is 33408097. The reversal of 33408096 is 69080433.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×33408096² = 2232201756690432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33408091) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 173905 + ... + 174096.

It is an arithmetic number, because the mean of its divisors is an integer number (3654021).

Almost surely, 2^33408096 is an apocalyptic number.

It is an amenable number.

33408096 is an abundant number, since it is smaller than the sum of its proper divisors (54288408).

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

33408096 is a wasteful number, since it uses less digits than its factorization.

33408096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348014 (or 348006 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 33408096 is about 5779.9737023623. The cubic root of 33408096 is about 322.0702237438.

The spelling of 33408096 in words is "thirty-three million, four hundred eight thousand, ninety-six".