344883312 has 80 divisors (see below), whose sum is σ = 1024116000. Its totient is φ = 110992896.

The previous prime is 344883293. The next prime is 344883347. The reversal of 344883312 is 213388443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 1237 + ... + 26292.

It is an arithmetic number, because the mean of its divisors is an integer number (12801450).

Almost surely, 2^344883312 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 344883312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512058000).

344883312 is an abundant number, since it is smaller than the sum of its proper divisors (679232688).

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

344883312 is a wasteful number, since it uses less digits than its factorization.

344883312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27575 (or 27563 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 344883312 is about 18571.0342199889. The cubic root of 344883312 is about 701.2788269199.

The spelling of 344883312 in words is "three hundred forty-four million, eight hundred eighty-three thousand, three hundred twelve".