3221351346564 has 96 divisors (see below), whose sum is σ = 9304227408000. Its totient is φ = 957006223488.

The previous prime is 3221351346553. The next prime is 3221351346607. The reversal of 3221351346564 is 4656431531223.

3221351346564 is a `hidden beast` number, since 3 + 2 + 2 + 1 + 3 + 51 + 34 + 6 + 564 = 666.

It is a super-4 number, since 4×3221351346564⁴ (a number of 51 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39518074 + ... + 39599505.

It is an arithmetic number, because the mean of its divisors is an integer number (96919035500).

Almost surely, 2^{3221351346564} is an apocalyptic number.

It is an amenable number.

3221351346564 is an abundant number, since it is smaller than the sum of its proper divisors (6082876061436).

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

3221351346564 is a wasteful number, since it uses less digits than its factorization.

3221351346564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79117634 (or 79117626 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

Adding to 3221351346564 its reverse (4656431531223), we get a palindrome (7877782877787).

The spelling of 3221351346564 in words is "three trillion, two hundred twenty-one billion, three hundred fifty-one million, three hundred forty-six thousand, five hundred sixty-four".