343759863808 has 120 divisors (see below), whose sum is σ = 697657925160. Its totient is φ = 169358131200.

The previous prime is 343759863793. The next prime is 343759863817. The reversal of 343759863808 is 808368957343.

It can be written as a sum of positive squares in 4 ways, for example, as 161642594304 + 182117269504 = 402048^2 + 426752^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 343759863808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 484851358 + ... + 484852066.

It is an arithmetic number, because the mean of its divisors is an integer number (5813816043).

Almost surely, 2^343759863808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343759863808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348828962580).

343759863808 is an abundant number, since it is smaller than the sum of its proper divisors (353898061352).

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

343759863808 is an equidigital number, since it uses as much as digits as its factorization.

343759863808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 64.

The spelling of 343759863808 in words is "three hundred forty-three billion, seven hundred fifty-nine million, eight hundred sixty-three thousand, eight hundred eight".