3282928041312 has 48 divisors (see below), whose sum is σ = 9575206789680. Its totient is φ = 1094309346816.

The previous prime is 3282928041229. The next prime is 3282928041313. The reversal of 3282928041312 is 2131408292823.

3282928041312 is a `hidden beast` number, since 3 + 2 + 8 + 292 + 8 + 0 + 41 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3282928041313) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1899841753 + ... + 1899843480.

It is an arithmetic number, because the mean of its divisors is an integer number (199483474785).

Almost surely, 2^{3282928041312} is an apocalyptic number.

3282928041312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3282928041312 is an abundant number, since it is smaller than the sum of its proper divisors (6292278748368).

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

3282928041312 is a wasteful number, since it uses less digits than its factorization.

3282928041312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3799685252 (or 3799685238 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 3282928041312 in words is "three trillion, two hundred eighty-two billion, nine hundred twenty-eight million, forty-one thousand, three hundred twelve".