344643013341660 has 288 divisors, whose sum is σ = 1071631703600640. Its totient is φ = 82689937989120.

The previous prime is 344643013341629. The next prime is 344643013341713. The reversal of 344643013341660 is 66143310346443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1277821179 + ... + 1278090861.

It is an arithmetic number, because the mean of its divisors is an integer number (3720943415280).

Almost surely, 2^{344643013341660} is an apocalyptic number.

344643013341660 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 344643013341660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535815851800320).

344643013341660 is an abundant number, since it is smaller than the sum of its proper divisors (726988690258980).

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

344643013341660 is a wasteful number, since it uses less digits than its factorization.

344643013341660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271529 (or 271516 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 48.

The spelling of 344643013341660 in words is "three hundred forty-four trillion, six hundred forty-three billion, thirteen million, three hundred forty-one thousand, six hundred sixty".