33394968 has 48 divisors (see below), whose sum is σ = 90810720. Its totient is φ = 11086656.

The previous prime is 33394937. The next prime is 33394993. The reversal of 33394968 is 86949333.

It is a super-2 number, since 2×33394968² = 2230447775442048, which contains 22 as substring.

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

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 11 ways as a sum of consecutive naturals, for example, 20305 + ... + 21887.

It is an arithmetic number, because the mean of its divisors is an integer number (1891890).

Almost surely, 2^33394968 is an apocalyptic number.

It is an amenable number.

33394968 is an abundant number, since it is smaller than the sum of its proper divisors (57415752).

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

33394968 is a wasteful number, since it uses less digits than its factorization.

33394968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1881 counting only the distinct ones).

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

The square root of 33394968 is about 5778.8379454697. The cubic root of 33394968 is about 322.0280314575.

The spelling of 33394968 in words is "thirty-three million, three hundred ninety-four thousand, nine hundred sixty-eight".