33042880 has 112 divisors (see below), whose sum is σ = 87050880. Its totient is φ = 11940864.

The previous prime is 33042853. The next prime is 33042899. The reversal of 33042880 is 8824033.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703017 + ... + 703063.

It is an arithmetic number, because the mean of its divisors is an integer number (777240).

Almost surely, 2^33042880 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 33042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43525440).

33042880 is an abundant number, since it is smaller than the sum of its proper divisors (54008000).

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

33042880 is an equidigital number, since it uses as much as digits as its factorization.

33042880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 33042880 is about 5748.2936598612. The cubic root of 33042880 is about 320.8923012244.

The spelling of 33042880 in words is "thirty-three million, forty-two thousand, eight hundred eighty".