33004944 has 120 divisors (see below), whose sum is σ = 106778880. Its totient is φ = 9321984.

The previous prime is 33004943. The next prime is 33004963. The reversal of 33004944 is 44940033.

It is not an unprimeable number, because it can be changed into a prime (33004943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137977 + ... + 138215.

It is an arithmetic number, because the mean of its divisors is an integer number (889824).

Almost surely, 2^33004944 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 33004944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53389440).

33004944 is an abundant number, since it is smaller than the sum of its proper divisors (73773936).

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

33004944 is a wasteful number, since it uses less digits than its factorization.

33004944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 33004944 is about 5744.9929503873. The cubic root of 33004944 is about 320.7694504318.

Adding to 33004944 its reverse (44940033), we get a palindrome (77944977).

The spelling of 33004944 in words is "thirty-three million, four thousand, nine hundred forty-four".