3412068352000 has 1080 divisors, whose sum is σ = 10927904334984. Its totient is φ = 1059717120000.

The previous prime is 3412068351977. The next prime is 3412068352031. The reversal of 3412068352000 is 2538602143.

It can be written as a sum of positive squares in 4 ways, for example, as 51387449344 + 3360680902656 = 226688^2 + 1833216^2 .

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 71 ways as a sum of consecutive naturals, for example, 12142591860 + ... + 12142592140.

Almost surely, 2^{3412068352000} 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 3412068352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5463952167492).

3412068352000 is an abundant number, since it is smaller than the sum of its proper divisors (7515835982984).

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

3412068352000 is an equidigital number, since it uses as much as digits as its factorization.

3412068352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 3412068352000 in words is "three trillion, four hundred twelve billion, sixty-eight million, three hundred fifty-two thousand".