344963140704 has 648 divisors, whose sum is σ = 1247959833120. Its totient is φ = 90076686336.

The previous prime is 344963140661. The next prime is 344963140723. The reversal of 344963140704 is 407041369443.

344963140704 is a `hidden beast` number, since 3 + 4 + 4 + 9 + 631 + 4 + 0 + 7 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 344963140704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 259956489 + ... + 259957815.

It is an arithmetic number, because the mean of its divisors is an integer number (1925863940).

Almost surely, 2^344963140704 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 344963140704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623979916560).

344963140704 is an abundant number, since it is smaller than the sum of its proper divisors (902996692416).

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

344963140704 is a wasteful number, since it uses less digits than its factorization.

344963140704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 344963140704 in words is "three hundred forty-four billion, nine hundred sixty-three million, one hundred forty thousand, seven hundred four".