33342080 has 64 divisors (see below), whose sum is σ = 81151200. Its totient is φ = 13095936.

The previous prime is 33342077. The next prime is 33342091. The reversal of 33342080 is 8024333.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×33342080² = 2223388597452800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 37319 + ... + 38201.

Almost surely, 2^33342080 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 33342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40575600).

33342080 is an abundant number, since it is smaller than the sum of its proper divisors (47809120).

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

33342080 is an equidigital number, since it uses as much as digits as its factorization.

33342080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 33342080 is about 5774.2601257650. The cubic root of 33342080 is about 321.8579417862.

The spelling of 33342080 in words is "thirty-three million, three hundred forty-two thousand, eighty".