3142568943360 has 3456 divisors, whose sum is σ = 15236903485440. Its totient is φ = 582903889920.

The previous prime is 3142568943347. The next prime is 3142568943391. The reversal of 3142568943360 is 633498652413.

3142568943360 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 568 + 9 + 43 + 36 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3142568943297 and 3142568943306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 46904014047 + ... + 46904014113.

It is an arithmetic number, because the mean of its divisors is an integer number (4408826240).

Almost surely, 2^{3142568943360} is an apocalyptic number.

3142568943360 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 3142568943360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7618451742720).

3142568943360 is an abundant number, since it is smaller than the sum of its proper divisors (12094334542080).

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

3142568943360 is a wasteful number, since it uses less digits than its factorization.

3142568943360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 3142568943360 in words is "three trillion, one hundred forty-two billion, five hundred sixty-eight million, nine hundred forty-three thousand, three hundred sixty".