3279720288768 has 320 divisors, whose sum is σ = 10902087364608. Its totient is φ = 851192709120.

The previous prime is 3279720288721. The next prime is 3279720288847. The reversal of 3279720288768 is 8678820279723.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156936496 + ... + 156957392.

Almost surely, 2^{3279720288768} 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 3279720288768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5451043682304).

3279720288768 is an abundant number, since it is smaller than the sum of its proper divisors (7622367075840).

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

3279720288768 is a wasteful number, since it uses less digits than its factorization.

3279720288768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22263 (or 22247 counting only the distinct ones).

The product of its (nonzero) digits is 227598336, while the sum is 69.

The spelling of 3279720288768 in words is "three trillion, two hundred seventy-nine billion, seven hundred twenty million, two hundred eighty-eight thousand, seven hundred sixty-eight".