33820320 has 48 divisors (see below), whose sum is σ = 106535520. Its totient is φ = 9018624.

The previous prime is 33820301. The next prime is 33820333. The reversal of 33820320 is 2302833.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33820320² = 2287628089804800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 34750 + ... + 35709.

It is an arithmetic number, because the mean of its divisors is an integer number (2219490).

Almost surely, 2^33820320 is an apocalyptic number.

33820320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33820320 is an abundant number, since it is smaller than the sum of its proper divisors (72715200).

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

33820320 is a wasteful number, since it uses less digits than its factorization.

33820320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70477 (or 70469 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 33820320 is about 5815.5240520524. The cubic root of 33820320 is about 323.3894920227.

The spelling of 33820320 in words is "thirty-three million, eight hundred twenty thousand, three hundred twenty".