33442864 has 80 divisors (see below), whose sum is σ = 80883712. Its totient is φ = 13042944.

The previous prime is 33442861. The next prime is 33442879. The reversal of 33442864 is 46824433.

It is a super-2 number, since 2×33442864² = 2236850305044992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33442861) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 149857 + ... + 150079.

Almost surely, 2^33442864 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 33442864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40441856).

33442864 is an abundant number, since it is smaller than the sum of its proper divisors (47440848).

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

33442864 is a wasteful number, since it uses less digits than its factorization.

33442864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 348 counting only the distinct ones).

The product of its digits is 55296, while the sum is 34.

The square root of 33442864 is about 5782.9805463965. The cubic root of 33442864 is about 322.1819117935.

The spelling of 33442864 in words is "thirty-three million, four hundred forty-two thousand, eight hundred sixty-four".