330351968 has 48 divisors (see below), whose sum is σ = 669105360. Its totient is φ = 160482816.

The previous prime is 330351961. The next prime is 330351971. The reversal of 330351968 is 869153033.

330351968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×330351968² = 218264845522946048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330351961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183971 + ... + 185757.

It is an arithmetic number, because the mean of its divisors is an integer number (13939695).

Almost surely, 2^330351968 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 330351968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334552680).

330351968 is an abundant number, since it is smaller than the sum of its proper divisors (338753392).

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

330351968 is a wasteful number, since it uses less digits than its factorization.

330351968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 38.

The square root of 330351968 is about 18175.5871431984. The cubic root of 330351968 is about 691.2879173077.

The spelling of 330351968 in words is "three hundred thirty million, three hundred fifty-one thousand, nine hundred sixty-eight".