344250816 has 448 divisors, whose sum is σ = 1269918720. Its totient is φ = 79626240.

The previous prime is 344250811. The next prime is 344250853. The reversal of 344250816 is 618052443.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344250811) 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 63 ways as a sum of consecutive naturals, for example, 5643426 + ... + 5643486.

It is an arithmetic number, because the mean of its divisors is an integer number (2834640).

Almost surely, 2^344250816 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 344250816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634959360).

344250816 is an abundant number, since it is smaller than the sum of its proper divisors (925667904).

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

344250816 is a wasteful number, since it uses less digits than its factorization.

344250816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 344250816 is about 18553.9973051631. The cubic root of 344250816 is about 700.8498630103.

The spelling of 344250816 in words is "three hundred forty-four million, two hundred fifty thousand, eight hundred sixteen".