344708380080 has 640 divisors, whose sum is σ = 1274268441600. Its totient is φ = 85399142400.

The previous prime is 344708380057. The next prime is 344708380123. The reversal of 344708380080 is 80083807443.

It is a happy number.

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

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, 521494950 + ... + 521495610.

It is an arithmetic number, because the mean of its divisors is an integer number (1991044440).

Almost surely, 2^344708380080 is an apocalyptic number.

344708380080 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 344708380080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637134220800).

344708380080 is an abundant number, since it is smaller than the sum of its proper divisors (929560061520).

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

344708380080 is a wasteful number, since it uses less digits than its factorization.

344708380080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 344708380080 in words is "three hundred forty-four billion, seven hundred eight million, three hundred eighty thousand, eighty".