33981768 has 60 divisors (see below), whose sum is σ = 95597865. Its totient is φ = 11277792.

The previous prime is 33981757. The next prime is 33981803. The reversal of 33981768 is 86718933.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 25583364 + 8398404 = 5058^2 + 2898^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4122.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 148278 + ... + 148506.

Almost surely, 2^33981768 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 33981768

33981768 is an abundant number, since it is smaller than the sum of its proper divisors (61616097).

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

33981768 is an equidigital number, since it uses as much as digits as its factorization.

33981768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 234 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 33981768 is about 5829.3883041019. The cubic root of 33981768 is about 323.9032633013.

The spelling of 33981768 in words is "thirty-three million, nine hundred eighty-one thousand, seven hundred sixty-eight".