344945658220800 has 1728 divisors, whose sum is σ = 1490058983454720. Its totient is φ = 68237776650240.

The previous prime is 344945658220789. The next prime is 344945658220811. The reversal of 344945658220800 is 8022856549443.

It is an interprime number because it is at equal distance from previous prime (344945658220789) and next prime (344945658220811).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3220036039 + ... + 3220143161.

Almost surely, 2^{344945658220800} is an apocalyptic number.

344945658220800 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 344945658220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745029491727360).

344945658220800 is an abundant number, since it is smaller than the sum of its proper divisors (1145113325233920).

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

344945658220800 is a wasteful number, since it uses less digits than its factorization.

344945658220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107288 (or 107269 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 60.

The spelling of 344945658220800 in words is "three hundred forty-four trillion, nine hundred forty-five billion, six hundred fifty-eight million, two hundred twenty thousand, eight hundred".