344249118720 has 1248 divisors, whose sum is σ = 1415532186432. Its totient is φ = 79498838016.

The previous prime is 344249118709. The next prime is 344249118751. The reversal of 344249118720 is 27811942443.

344249118720 is a `hidden beast` number, since 3 + 442 + 4 + 9 + 1 + 187 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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 95 ways as a sum of consecutive naturals, for example, 1099837284 + ... + 1099837596.

It is an arithmetic number, because the mean of its divisors is an integer number (1134240534).

Almost surely, 2^344249118720 is an apocalyptic number.

344249118720 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 344249118720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707766093216).

344249118720 is an abundant number, since it is smaller than the sum of its proper divisors (1071283067712).

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

344249118720 is a wasteful number, since it uses less digits than its factorization.

344249118720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 344249118720 in words is "three hundred forty-four billion, two hundred forty-nine million, one hundred eighteen thousand, seven hundred twenty".