3286081345800 has 192 divisors, whose sum is σ = 11161462852800. Its totient is φ = 793146700800.

The previous prime is 3286081345741. The next prime is 3286081345843. The reversal of 3286081345800 is 85431806823.

It is a super-2 number, since 2×3286081345800² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3286081345800.

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, 424302 + ... + 2598498.

It is an arithmetic number, because the mean of its divisors is an integer number (58132619025).

Almost surely, 2^{3286081345800} is an apocalyptic number.

3286081345800 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 3286081345800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5580731426400).

3286081345800 is an abundant number, since it is smaller than the sum of its proper divisors (7875381507000).

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

3286081345800 is a wasteful number, since it uses less digits than its factorization.

3286081345800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174456 (or 2174447 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 3286081345800 in words is "three trillion, two hundred eighty-six billion, eighty-one million, three hundred forty-five thousand, eight hundred".