3220204085280 has 432 divisors, whose sum is σ = 13766376385944. Its totient is φ = 679427481600.

The previous prime is 3220204085261. The next prime is 3220204085341. The reversal of 3220204085280 is 825804020223.

3220204085280 is a `hidden beast` number, since 3 + 220 + 2 + 0 + 408 + 5 + 28 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1162023632784 + 2058180452496 = 1077972^2 + 1434636^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 838021 + ... + 2672580.

Almost surely, 2^{3220204085280} is an apocalyptic number.

3220204085280 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 3220204085280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6883188192972).

3220204085280 is an abundant number, since it is smaller than the sum of its proper divisors (10546172300664).

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

3220204085280 is a wasteful number, since it uses less digits than its factorization.

3220204085280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510649 (or 3510631 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 3220204085280 in words is "three trillion, two hundred twenty billion, two hundred four million, eighty-five thousand, two hundred eighty".