331362816 has 160 divisors (see below), whose sum is σ = 939850560. Its totient is φ = 103563264.

The previous prime is 331362803. The next prime is 331362839. The reversal of 331362816 is 618263133.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1915306 + ... + 1915478.

It is an arithmetic number, because the mean of its divisors is an integer number (5874066).

Almost surely, 2^331362816 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 331362816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469925280).

331362816 is an abundant number, since it is smaller than the sum of its proper divisors (608487744).

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

331362816 is a wasteful number, since it uses less digits than its factorization.

331362816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 250 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 331362816 is about 18203.3737532360. The cubic root of 331362816 is about 691.9922927851.

The spelling of 331362816 in words is "three hundred thirty-one million, three hundred sixty-two thousand, eight hundred sixteen".