393331344 has 80 divisors (see below), whose sum is σ = 1186019328. Its totient is φ = 109984896.

The previous prime is 393331343. The next prime is 393331403. The reversal of 393331344 is 443133393.

It is not an unprimeable number, because it can be changed into a prime (393331343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3339 + ... + 28245.

Almost surely, 2^393331344 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 393331344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593009664).

393331344 is an abundant number, since it is smaller than the sum of its proper divisors (792687984).

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

393331344 is a wasteful number, since it uses less digits than its factorization.

393331344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24972 (or 24966 counting only the distinct ones).

The product of its digits is 34992, while the sum is 33.

The square root of 393331344 is about 19832.5828877633. The cubic root of 393331344 is about 732.6887423020.

The spelling of 393331344 in words is "three hundred ninety-three million, three hundred thirty-one thousand, three hundred forty-four".