3220505982720 has 2016 divisors, whose sum is σ = 13342891060800. Its totient is φ = 737848590336.

The previous prime is 3220505982599. The next prime is 3220505982823. The reversal of 3220505982720 is 272895050223.

3220505982720 is a `hidden beast` number, since 3 + 2 + 2 + 0 + 50 + 598 + 2 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 20512776882 + ... + 20512777038.

It is an arithmetic number, because the mean of its divisors is an integer number (6618497550).

Almost surely, 2^{3220505982720} is an apocalyptic number.

3220505982720 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 3220505982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6671445530400).

3220505982720 is an abundant number, since it is smaller than the sum of its proper divisors (10122385078080).

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

3220505982720 is a wasteful number, since it uses less digits than its factorization.

3220505982720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 3220505982720 in words is "three trillion, two hundred twenty billion, five hundred five million, nine hundred eighty-two thousand, seven hundred twenty".