331201344 has 112 divisors (see below), whose sum is σ = 960120000. Its totient is φ = 100294656.

The previous prime is 331201337. The next prime is 331201411. The reversal of 331201344 is 443102133.

It is a self number, because there is not a number n which added to its sum of digits gives 331201344.

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, 92907 + ... + 96405.

It is an arithmetic number, because the mean of its divisors is an integer number (8572500).

Almost surely, 2^331201344 is an apocalyptic number.

331201344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480060000).

331201344 is an abundant number, since it is smaller than the sum of its proper divisors (628918656).

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

331201344 is a wasteful number, since it uses less digits than its factorization.

331201344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3560 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 331201344 is about 18198.9379909928. The cubic root of 331201344 is about 691.8798726736.

Adding to 331201344 its reverse (443102133), we get a palindrome (774303477).

The spelling of 331201344 in words is "three hundred thirty-one million, two hundred one thousand, three hundred forty-four".