3218320560 has 320 divisors, whose sum is σ = 12409205760. Its totient is φ = 671846400.

The previous prime is 3218320513. The next prime is 3218320561. The reversal of 3218320560 is 650238123.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3218320561) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2205111 + ... + 2206569.

It is an arithmetic number, because the mean of its divisors is an integer number (38778768).

Almost surely, 2^3218320560 is an apocalyptic number.

3218320560 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 3218320560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6204602880).

3218320560 is an abundant number, since it is smaller than the sum of its proper divisors (9190885200).

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

3218320560 is a wasteful number, since it uses less digits than its factorization.

3218320560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 3218320560 is about 56730.2437858326. The cubic root of 3218320560 is about 1476.4194796297.

Adding to 3218320560 its reverse (650238123), we get a palindrome (3868558683).

The spelling of 3218320560 in words is "three billion, two hundred eighteen million, three hundred twenty thousand, five hundred sixty".