3282580567168 has 128 divisors (see below), whose sum is σ = 7871115600000. Its totient is φ = 1332094574592.

The previous prime is 3282580567157. The next prime is 3282580567199. The reversal of 3282580567168 is 8617650852823.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 33880458 + ... + 33977206.

It is an arithmetic number, because the mean of its divisors is an integer number (61493090625).

Almost surely, 2^{3282580567168} is an apocalyptic number.

3282580567168 is a gapful number since it is divisible by the number (38) 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 3282580567168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935557800000).

3282580567168 is an abundant number, since it is smaller than the sum of its proper divisors (4588535032832).

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

3282580567168 is a wasteful number, since it uses less digits than its factorization.

3282580567168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98782 (or 98770 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 61.

The spelling of 3282580567168 in words is "three trillion, two hundred eighty-two billion, five hundred eighty million, five hundred sixty-seven thousand, one hundred sixty-eight".