3205405800000 has 504 divisors, whose sum is σ = 11501135958312. Its totient is φ = 853493760000.

The previous prime is 3205405799881. The next prime is 3205405800073. The reversal of 3205405800000 is 85045023.

3205405800000 is a `hidden beast` number, since 32 + 0 + 54 + 0 + 580 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1742970286656 + 1462435513344 = 1320216^2 + 1209312^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2334599314 + ... + 2334600686.

It is an arithmetic number, because the mean of its divisors is an integer number (22819714203).

Almost surely, 2^{3205405800000} is an apocalyptic number.

3205405800000 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 3205405800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5750567979156).

3205405800000 is an abundant number, since it is smaller than the sum of its proper divisors (8295730158312).

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

3205405800000 is a wasteful number, since it uses less digits than its factorization.

3205405800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 3205405800000 in words is "three trillion, two hundred five billion, four hundred five million, eight hundred thousand".