347683368256 has 252 divisors, whose sum is σ = 846834001020. Its totient is φ = 141050757120.

The previous prime is 347683368239. The next prime is 347683368281. The reversal of 347683368256 is 652863386743.

It can be written as a sum of positive squares in 6 ways, for example, as 1280494656 + 346402873600 = 35784^2 + 588560^2 .

It is a junction number, because it is equal to n+sod(n) for n = 347683368194 and 347683368203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 255461016 + ... + 255462376.

It is an arithmetic number, because the mean of its divisors is an integer number (3360452385).

Almost surely, 2^347683368256 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 347683368256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423417000510).

347683368256 is an abundant number, since it is smaller than the sum of its proper divisors (499150632764).

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

347683368256 is a wasteful number, since it uses less digits than its factorization.

347683368256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1452 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 61.

The spelling of 347683368256 in words is "three hundred forty-seven billion, six hundred eighty-three million, three hundred sixty-eight thousand, two hundred fifty-six".