33808896 has 240 divisors, whose sum is σ = 114903360. Its totient is φ = 9461760.

The previous prime is 33808891. The next prime is 33808909. The reversal of 33808896 is 69880833.

It is a super-2 number, since 2×33808896² = 2286082897477632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33808891) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1165810 + ... + 1165838.

It is an arithmetic number, because the mean of its divisors is an integer number (478764).

Almost surely, 2^33808896 is an apocalyptic number.

33808896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33808896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57451680).

33808896 is an abundant number, since it is smaller than the sum of its proper divisors (81094464).

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

33808896 is a wasteful number, since it uses less digits than its factorization.

33808896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 33808896 is about 5814.5417704235. The cubic root of 33808896 is about 323.3530758720.

The spelling of 33808896 in words is "thirty-three million, eight hundred eight thousand, eight hundred ninety-six".