33994368 has 96 divisors (see below), whose sum is σ = 102155040. Its totient is φ = 10830336.

The previous prime is 33994361. The next prime is 33994399. The reversal of 33994368 is 86349933.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (33994361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25855 + ... + 27137.

It is an arithmetic number, because the mean of its divisors is an integer number (1064115).

Almost surely, 2^33994368 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 33994368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51077520).

33994368 is an abundant number, since it is smaller than the sum of its proper divisors (68160672).

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

33994368 is a wasteful number, since it uses less digits than its factorization.

33994368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1311 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 33994368 is about 5830.4689348285. The cubic root of 33994368 is about 323.9432914011.

The spelling of 33994368 in words is "thirty-three million, nine hundred ninety-four thousand, three hundred sixty-eight".