33966912 has 112 divisors (see below), whose sum is σ = 104038400. Its totient is φ = 9580032.

The previous prime is 33966893. The next prime is 33966913. The reversal of 33966912 is 21966933.

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

It is a super-2 number, since 2×33966912² = 2307502221631488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33966913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170589 + ... + 170787.

Almost surely, 2^33966912 is an apocalyptic number.

33966912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33966912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52019200).

33966912 is an abundant number, since it is smaller than the sum of its proper divisors (70071488).

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

33966912 is a wasteful number, since it uses less digits than its factorization.

33966912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 338 counting only the distinct ones).

The product of its digits is 52488, while the sum is 39.

The square root of 33966912 is about 5828.1139316249. The cubic root of 33966912 is about 323.8560555528.

The spelling of 33966912 in words is "thirty-three million, nine hundred sixty-six thousand, nine hundred twelve".