33904338 has 32 divisors (see below), whose sum is σ = 73918656. Its totient is φ = 10304448.

The previous prime is 33904337. The next prime is 33904357. The reversal of 33904338 is 83340933.

It is a super-2 number, since 2×33904338² = 2299008270436488, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33904299 and 33904308.

It is not an unprimeable number, because it can be changed into a prime (33904331) 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 15 ways as a sum of consecutive naturals, for example, 3856 + ... + 9092.

It is an arithmetic number, because the mean of its divisors is an integer number (2309958).

Almost surely, 2^33904338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33904338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36959328).

33904338 is an abundant number, since it is smaller than the sum of its proper divisors (40014318).

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

33904338 is a wasteful number, since it uses less digits than its factorization.

33904338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5338.

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 33904338 is about 5822.7431679579. The cubic root of 33904338 is about 323.6570636079.

The spelling of 33904338 in words is "thirty-three million, nine hundred four thousand, three hundred thirty-eight".