344562816 has 128 divisors (see below), whose sum is σ = 1028845440. Its totient is φ = 101376000.

The previous prime is 344562703. The next prime is 344562857. The reversal of 344562816 is 618265443.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 113316 + ... + 116316.

It is an arithmetic number, because the mean of its divisors is an integer number (8037855).

Almost surely, 2^344562816 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 344562816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514422720).

344562816 is an abundant number, since it is smaller than the sum of its proper divisors (684282624).

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

344562816 is a wasteful number, since it uses less digits than its factorization.

344562816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3054 (or 3042 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 344562816 is about 18562.4032926774. The cubic root of 344562816 is about 701.0615295438.

The spelling of 344562816 in words is "three hundred forty-four million, five hundred sixty-two thousand, eight hundred sixteen".