3288256312680 has 512 divisors, whose sum is σ = 12200509440000. Its totient is φ = 784306022400.

The previous prime is 3288256312673. The next prime is 3288256312723. The reversal of 3288256312680 is 862136528823.

It is a happy number.

3288256312680 is a `hidden beast` number, since 3 + 2 + 8 + 8 + 2 + 563 + 12 + 68 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26017881 + ... + 26143959.

It is an arithmetic number, because the mean of its divisors is an integer number (23829120000).

Almost surely, 2^{3288256312680} is an apocalyptic number.

3288256312680 is a gapful number since it is divisible by the number (30) 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 3288256312680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6100254720000).

3288256312680 is an abundant number, since it is smaller than the sum of its proper divisors (8912253127320).

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

3288256312680 is a wasteful number, since it uses less digits than its factorization.

3288256312680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126190 (or 126180 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 3288256312680 in words is "three trillion, two hundred eighty-eight billion, two hundred fifty-six million, three hundred twelve thousand, six hundred eighty".