344127875850 has 144 divisors (see below), whose sum is σ = 1016308728864. Its totient is φ = 82787952000.

The previous prime is 344127875849. The next prime is 344127875887. The reversal of 344127875850 is 58578721443.

344127875850 is a `hidden beast` number, since 3 + 44 + 12 + 7 + 8 + 7 + 585 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 383104 + ... + 913796.

It is an arithmetic number, because the mean of its divisors is an integer number (7057699506).

Almost surely, 2^344127875850 is an apocalyptic number.

344127875850 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 344127875850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508154364432).

344127875850 is an abundant number, since it is smaller than the sum of its proper divisors (672180853014).

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

344127875850 is a wasteful number, since it uses less digits than its factorization.

344127875850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530853 (or 530845 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 344127875850 in words is "three hundred forty-four billion, one hundred twenty-seven million, eight hundred seventy-five thousand, eight hundred fifty".