33404320 has 48 divisors (see below), whose sum is σ = 83566728. Its totient is φ = 12574720.

The previous prime is 33404311. The next prime is 33404321. The reversal of 33404320 is 2340433.

It can be written as a sum of positive squares in 4 ways, for example, as 33039504 + 364816 = 5748^2 + 604^2 .

It is a super-2 number, since 2×33404320² = 2231697189324800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33404321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3421 + ... + 8860.

Almost surely, 2^33404320 is an apocalyptic number.

It is an amenable number.

33404320 is an abundant number, since it is smaller than the sum of its proper divisors (50162408).

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

33404320 is a wasteful number, since it uses less digits than its factorization.

33404320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12313 (or 12305 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 33404320 is about 5779.6470480471. The cubic root of 33404320 is about 322.0580891304.

Adding to 33404320 its reverse (2340433), we get a palindrome (35744753).

The spelling of 33404320 in words is "thirty-three million, four hundred four thousand, three hundred twenty".