331349760 has 324 divisors, whose sum is σ = 1335880728. Its totient is φ = 75608064.

The previous prime is 331349747. The next prime is 331349761. The reversal of 331349760 is 67943133.

331349760 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (331349761) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 564187 + ... + 564773.

Almost surely, 2^331349760 is an apocalyptic number.

331349760 is a gapful number since it is divisible by the number (30) 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 331349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667940364).

331349760 is an abundant number, since it is smaller than the sum of its proper divisors (1004530968).

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

331349760 is a wasteful number, since it uses less digits than its factorization.

331349760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 331349760 is about 18203.0151348616. The cubic root of 331349760 is about 691.9832042879.

The spelling of 331349760 in words is "three hundred thirty-one million, three hundred forty-nine thousand, seven hundred sixty".