331388352 has 84 divisors (see below), whose sum is σ = 970154016. Its totient is φ = 108103680.

The previous prime is 331388333. The next prime is 331388353. The reversal of 331388352 is 253883133.

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 (331388353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20952 + ... + 33192.

Almost surely, 2^331388352 is an apocalyptic number.

331388352 is a gapful number since it is divisible by the number (32) 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 331388352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485077008).

331388352 is an abundant number, since it is smaller than the sum of its proper divisors (638765664).

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

331388352 is a wasteful number, since it uses less digits than its factorization.

331388352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12306 (or 12293 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 331388352 is about 18204.0751481639. The cubic root of 331388352 is about 692.0100681262.

The spelling of 331388352 in words is "three hundred thirty-one million, three hundred eighty-eight thousand, three hundred fifty-two".