33042320 has 40 divisors (see below), whose sum is σ = 78282936. Its totient is φ = 12965888.

The previous prime is 33042319. The next prime is 33042343. The reversal of 33042320 is 2324033.

It can be written as a sum of positive squares in 4 ways, for example, as 15335056 + 17707264 = 3916^2 + 4208^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 344 + ... + 8136.

Almost surely, 2^33042320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39141468).

33042320 is an abundant number, since it is smaller than the sum of its proper divisors (45240616).

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

33042320 is a wasteful number, since it uses less digits than its factorization.

33042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7859 (or 7853 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 33042320 is about 5748.2449495476. The cubic root of 33042320 is about 320.8904884213.

Adding to 33042320 its reverse (2324033), we get a palindrome (35366353).

The spelling of 33042320 in words is "thirty-three million, forty-two thousand, three hundred twenty".