3282987445668 has 144 divisors (see below), whose sum is σ = 9795516989440. Its totient is φ = 907238750400.

The previous prime is 3282987445667. The next prime is 3282987445711. The reversal of 3282987445668 is 8665447892823.

3282987445668 is a `hidden beast` number, since 3 + 2 + 82 + 98 + 7 + 4 + 456 + 6 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3282987445596 and 3282987445605.

It is not an unprimeable number, because it can be changed into a prime (3282987445667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14189013 + ... + 14418531.

Almost surely, 2^{3282987445668} 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 3282987445668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4897758494720).

3282987445668 is an abundant number, since it is smaller than the sum of its proper divisors (6512529543772).

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

3282987445668 is a wasteful number, since it uses less digits than its factorization.

3282987445668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231398 (or 231393 counting only the distinct ones).

The product of its digits is 1114767360, while the sum is 72.

The spelling of 3282987445668 in words is "three trillion, two hundred eighty-two billion, nine hundred eighty-seven million, four hundred forty-five thousand, six hundred sixty-eight".