344405312 has 56 divisors (see below), whose sum is σ = 755148096. Its totient is φ = 155015168.

The previous prime is 344405293. The next prime is 344405317. The reversal of 344405312 is 213504443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344405317) 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 7 ways as a sum of consecutive naturals, for example, 18143 + ... + 31905.

Almost surely, 2^344405312 is an apocalyptic number.

344405312 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 344405312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377574048).

344405312 is an abundant number, since it is smaller than the sum of its proper divisors (410742784).

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

344405312 is a wasteful number, since it uses less digits than its factorization.

344405312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13815 (or 13805 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 344405312 is about 18558.1602536458. The cubic root of 344405312 is about 700.9546919135.

Adding to 344405312 its reverse (213504443), we get a palindrome (557909755).

The spelling of 344405312 in words is "three hundred forty-four million, four hundred five thousand, three hundred twelve".