3122216064 has 128 divisors (see below), whose sum is σ = 10052712000. Its totient is φ = 946114560.

The previous prime is 3122216047. The next prime is 3122216093. The reversal of 3122216064 is 4606122213.

3122216064 is a `hidden beast` number, since 31 + 2 + 2 + 21 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3049 + ... + 79080.

Almost surely, 2^3122216064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3122216064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5026356000).

3122216064 is an abundant number, since it is smaller than the sum of its proper divisors (6930495936).

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

3122216064 is a wasteful number, since it uses less digits than its factorization.

3122216064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82163 (or 82145 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3122216064 is about 55876.7936087961. The cubic root of 3122216064 is about 1461.5745919478.

Adding to 3122216064 its reverse (4606122213), we get a palindrome (7728338277).

The spelling of 3122216064 in words is "three billion, one hundred twenty-two million, two hundred sixteen thousand, sixty-four".