344536704 has 96 divisors (see below), whose sum is σ = 1025727300. Its totient is φ = 110874624.

The previous prime is 344536693. The next prime is 344536721. The reversal of 344536704 is 407635443.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 344176704 + 360000 = 18552^2 + 600^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28252 + ... + 38564.

Almost surely, 2^344536704 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 344536704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512863650).

344536704 is an abundant number, since it is smaller than the sum of its proper divisors (681190596).

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

344536704 is a wasteful number, since it uses less digits than its factorization.

344536704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10362 (or 10347 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 344536704 is about 18561.6999221515. The cubic root of 344536704 is about 701.0438195838.

The spelling of 344536704 in words is "three hundred forty-four million, five hundred thirty-six thousand, seven hundred four".