33442816 has 44 divisors (see below), whose sum is σ = 72955080. Its totient is φ = 15196160.

The previous prime is 33442813. The next prime is 33442853. The reversal of 33442816 is 61824433.

It is a tau number, because it is divible by the number of its divisors (44).

It is a super-2 number, since 2×33442816² = 2236843884019712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33442813) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 9780 + ... + 12748.

It is an arithmetic number, because the mean of its divisors is an integer number (1658070).

Almost surely, 2^33442816 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 33442816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36477540).

33442816 is an abundant number, since it is smaller than the sum of its proper divisors (39512264).

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

33442816 is a wasteful number, since it uses less digits than its factorization.

33442816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2982 counting only the distinct ones).

The product of its digits is 13824, while the sum is 31.

The square root of 33442816 is about 5782.9763962859. The cubic root of 33442816 is about 322.1817576526.

The spelling of 33442816 in words is "thirty-three million, four hundred forty-two thousand, eight hundred sixteen".