3205888000000 has 420 divisors, whose sum is σ = 9164403006640. Its totient is φ = 1098547200000.

The previous prime is 3205887999997. The next prime is 3205888000039. The reversal of 3205888000000 is 8885023.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3205888000000.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1791999106 + ... + 1792000894.

Almost surely, 2^{3205888000000} 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 3205888000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4582201503320).

3205888000000 is an abundant number, since it is smaller than the sum of its proper divisors (5958515006640).

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

3205888000000 is an frugal number, since it uses more digits than its factorization.

3205888000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The spelling of 3205888000000 in words is "three trillion, two hundred five billion, eight hundred eighty-eight million", and thus it is an aban number.