3281743133160 has 128 divisors (see below), whose sum is σ = 9932582016000. Its totient is φ = 867401127936.

The previous prime is 3281743133117. The next prime is 3281743133191. The reversal of 3281743133160 is 613313471823.

It is a happy number.

3281743133160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5860276 + ... + 6395804.

It is an arithmetic number, because the mean of its divisors is an integer number (77598297000).

Almost surely, 2^{3281743133160} is an apocalyptic number.

3281743133160 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 3281743133160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4966291008000).

3281743133160 is an abundant number, since it is smaller than the sum of its proper divisors (6650838882840).

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

3281743133160 is a wasteful number, since it uses less digits than its factorization.

3281743133160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535995 (or 535991 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 3281743133160 in words is "three trillion, two hundred eighty-one billion, seven hundred forty-three million, one hundred thirty-three thousand, one hundred sixty".