33379968 has 32 divisors (see below), whose sum is σ = 88666560. Its totient is φ = 11126528.

The previous prime is 33379967. The next prime is 33379981. The reversal of 33379968 is 86997333.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×33379968² = 2228444527362048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (33379967) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 43080 + ... + 43847.

It is an arithmetic number, because the mean of its divisors is an integer number (2770830).

Almost surely, 2^33379968 is an apocalyptic number.

It is an amenable number.

33379968 is an abundant number, since it is smaller than the sum of its proper divisors (55286592).

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

33379968 is an equidigital number, since it uses as much as digits as its factorization.

33379968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86944 (or 86932 counting only the distinct ones).

The product of its digits is 734832, while the sum is 48.

The square root of 33379968 is about 5777.5399609176. The cubic root of 33379968 is about 321.9798091837.

The spelling of 33379968 in words is "thirty-three million, three hundred seventy-nine thousand, nine hundred sixty-eight".