3288374908728 has 256 divisors, whose sum is σ = 10484570880000. Its totient is φ = 835950495744.

The previous prime is 3288374908711. The next prime is 3288374908801. The reversal of 3288374908728 is 8278094738823.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 37894926 + ... + 37981602.

It is an arithmetic number, because the mean of its divisors is an integer number (40955355000).

Almost surely, 2^{3288374908728} 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 3288374908728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242285440000).

3288374908728 is an abundant number, since it is smaller than the sum of its proper divisors (7196195971272).

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

3288374908728 is a wasteful number, since it uses less digits than its factorization.

3288374908728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87334 (or 87330 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 69.

The spelling of 3288374908728 in words is "three trillion, two hundred eighty-eight billion, three hundred seventy-four million, nine hundred eight thousand, seven hundred twenty-eight".