344315216880 has 640 divisors, whose sum is σ = 1299421593600. Its totient is φ = 83476915200.

The previous prime is 344315216831. The next prime is 344315216923. The reversal of 344315216880 is 88612513443.

344315216880 is a `hidden beast` number, since 3 + 4 + 43 + 1 + 521 + 6 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 161573415 + ... + 161575545.

It is an arithmetic number, because the mean of its divisors is an integer number (2030346240).

Almost surely, 2^344315216880 is an apocalyptic number.

344315216880 is a gapful number since it is divisible by the number (30) 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 344315216880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649710796800).

344315216880 is an abundant number, since it is smaller than the sum of its proper divisors (955106376720).

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

344315216880 is a wasteful number, since it uses less digits than its factorization.

344315216880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 344315216880 in words is "three hundred forty-four billion, three hundred fifteen million, two hundred sixteen thousand, eight hundred eighty".