332361344 has 64 divisors (see below), whose sum is σ = 782870400. Its totient is φ = 137518080.

The previous prime is 332361331. The next prime is 332361349. The reversal of 332361344 is 443163233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×332361344² = 220928125970972672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (332361349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19589 + ... + 32379.

It is an arithmetic number, because the mean of its divisors is an integer number (12232350).

Almost surely, 2^332361344 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 332361344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391435200).

332361344 is an abundant number, since it is smaller than the sum of its proper divisors (450509056).

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

332361344 is a wasteful number, since it uses less digits than its factorization.

332361344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12841 (or 12829 counting only the distinct ones).

The product of its digits is 15552, while the sum is 29.

The square root of 332361344 is about 18230.7801259299. The cubic root of 332361344 is about 692.6866784623.

The spelling of 332361344 in words is "three hundred thirty-two million, three hundred sixty-one thousand, three hundred forty-four".