3286543647816 has 1280 divisors, whose sum is σ = 11987015040000. Its totient is φ = 825885849600.

The previous prime is 3286543647811. The next prime is 3286543647823. The reversal of 3286543647816 is 6187463456823.

It is a happy number.

3286543647816 is a `hidden beast` number, since 3 + 2 + 8 + 6 + 543 + 6 + 4 + 7 + 81 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (3286543647811) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3012413431 + ... + 3012414521.

It is an arithmetic number, because the mean of its divisors is an integer number (9364855500).

Almost surely, 2^{3286543647816} is an apocalyptic number.

3286543647816 is a gapful number since it is divisible by the number (36) 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 3286543647816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5993507520000).

3286543647816 is an abundant number, since it is smaller than the sum of its proper divisors (8700471392184).

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

3286543647816 is a wasteful number, since it uses less digits than its factorization.

3286543647816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1227 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 3286543647816 in words is "three trillion, two hundred eighty-six billion, five hundred forty-three million, six hundred forty-seven thousand, eight hundred sixteen".