331344864 has 192 divisors, whose sum is σ = 1016064000. Its totient is φ = 104924160.

The previous prime is 331344851. The next prime is 331344869. The reversal of 331344864 is 468443133.

It is a happy number.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331344869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2383707 + ... + 2383845.

It is an arithmetic number, because the mean of its divisors is an integer number (5292000).

Almost surely, 2^331344864 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 331344864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508032000).

331344864 is an abundant number, since it is smaller than the sum of its proper divisors (684719136).

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

331344864 is a wasteful number, since it uses less digits than its factorization.

331344864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 264 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 331344864 is about 18202.8806511497. The cubic root of 331344864 is about 691.9797960399.

Adding to 331344864 its reverse (468443133), we get a palindrome (799787997).

The spelling of 331344864 in words is "three hundred thirty-one million, three hundred forty-four thousand, eight hundred sixty-four".