33466944 has 112 divisors (see below), whose sum is σ = 104087168. Its totient is φ = 9289728.

The previous prime is 33466933. The next prime is 33466973. The reversal of 33466944 is 44966433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×33466944² = 2240072681398272, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 49392 + ... + 50064.

Almost surely, 2^33466944 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 33466944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52043584).

33466944 is an abundant number, since it is smaller than the sum of its proper divisors (70620224).

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

33466944 is a wasteful number, since it uses less digits than its factorization.

33466944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 722 counting only the distinct ones).

The product of its digits is 186624, while the sum is 39.

The square root of 33466944 is about 5785.0621431407. The cubic root of 33466944 is about 322.2592205545.

The spelling of 33466944 in words is "thirty-three million, four hundred sixty-six thousand, nine hundred forty-four".