331411968 has 240 divisors, whose sum is σ = 1034130240. Its totient is φ = 101916672.

The previous prime is 331411967. The next prime is 331411973. The reversal of 331411968 is 869114133.

331411968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (331411967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5617123 + ... + 5617181.

It is an arithmetic number, because the mean of its divisors is an integer number (4308876).

Almost surely, 2^331411968 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 331411968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517065120).

331411968 is an abundant number, since it is smaller than the sum of its proper divisors (702718272).

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

331411968 is a wasteful number, since it uses less digits than its factorization.

331411968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 140 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 331411968 is about 18204.7237825791. The cubic root of 331411968 is about 692.0265061628.

The spelling of 331411968 in words is "three hundred thirty-one million, four hundred eleven thousand, nine hundred sixty-eight".