3260406686328 has 192 divisors, whose sum is σ = 10156920883200. Its totient is φ = 934441920000.

The previous prime is 3260406686297. The next prime is 3260406686371. The reversal of 3260406686328 is 8236866040623.

3260406686328 is a `hidden beast` number, since 3 + 2 + 604 + 0 + 6 + 6 + 8 + 6 + 3 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8863593 + ... + 9224103.

It is an arithmetic number, because the mean of its divisors is an integer number (52900629600).

Almost surely, 2^{3260406686328} is an apocalyptic number.

3260406686328 is a gapful number since it is divisible by the number (38) 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 3260406686328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5078460441600).

3260406686328 is an abundant number, since it is smaller than the sum of its proper divisors (6896514196872).

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

3260406686328 is a wasteful number, since it uses less digits than its factorization.

3260406686328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361154 (or 361147 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 3260406686328 in words is "three trillion, two hundred sixty billion, four hundred six million, six hundred eighty-six thousand, three hundred twenty-eight".