3256669279968 has 384 divisors, whose sum is σ = 9767723986944. Its totient is φ = 943285862400.

The previous prime is 3256669279879. The next prime is 3256669279973. The reversal of 3256669279968 is 8699729666523.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 3256669279893 and 3256669279902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170738080 + ... + 170757152.

It is an arithmetic number, because the mean of its divisors is an integer number (25436781216).

Almost surely, 2^{3256669279968} 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 3256669279968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4883861993472).

3256669279968 is an abundant number, since it is smaller than the sum of its proper divisors (6511054706976).

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

3256669279968 is a wasteful number, since it uses less digits than its factorization.

3256669279968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19258 (or 19250 counting only the distinct ones).

The product of its digits is 3174474240, while the sum is 78.

The spelling of 3256669279968 in words is "three trillion, two hundred fifty-six billion, six hundred sixty-nine million, two hundred seventy-nine thousand, nine hundred sixty-eight".