3288861712416 has 576 divisors, whose sum is σ = 10670236012800. Its totient is φ = 886495518720.

The previous prime is 3288861712333. The next prime is 3288861712421. The reversal of 3288861712416 is 6142171688823.

It is a super-2 number, since 2×3288861712416² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4005921286 + ... + 4005922106.

It is an arithmetic number, because the mean of its divisors is an integer number (18524715300).

Almost surely, 2^{3288861712416} 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 3288861712416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5335118006400).

3288861712416 is an abundant number, since it is smaller than the sum of its proper divisors (7381374300384).

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

3288861712416 is a wasteful number, since it uses less digits than its factorization.

3288861712416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1189 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 57.

The spelling of 3288861712416 in words is "three trillion, two hundred eighty-eight billion, eight hundred sixty-one million, seven hundred twelve thousand, four hundred sixteen".