3305286391680 has 2304 divisors, whose sum is σ = 14895253114560. Its totient is φ = 668860416000.

The previous prime is 3305286391679. The next prime is 3305286391733. The reversal of 3305286391680 is 861936825033.

It is a happy number.

3305286391680 is a `hidden beast` number, since 3 + 3 + 0 + 528 + 6 + 39 + 1 + 6 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13168471555 + ... + 13168471805.

Almost surely, 2^{3305286391680} is an apocalyptic number.

3305286391680 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 3305286391680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7447626557280).

3305286391680 is an abundant number, since it is smaller than the sum of its proper divisors (11589966722880).

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

3305286391680 is a wasteful number, since it uses less digits than its factorization.

3305286391680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 3305286391680 in words is "three trillion, three hundred five billion, two hundred eighty-six million, three hundred ninety-one thousand, six hundred eighty".