3223132121984 has 128 divisors (see below), whose sum is σ = 6834035577600. Its totient is φ = 1509855289344.

The previous prime is 3223132121983. The next prime is 3223132121987. The reversal of 3223132121984 is 4891212313223.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3223132121983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154302389 + ... + 154323275.

It is an arithmetic number, because the mean of its divisors is an integer number (53390902950).

Almost surely, 2^{3223132121984} 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 3223132121984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417017788800).

3223132121984 is an abundant number, since it is smaller than the sum of its proper divisors (3610903455616).

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

3223132121984 is a wasteful number, since it uses less digits than its factorization.

3223132121984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21620 (or 21608 counting only the distinct ones).

The product of its digits is 124416, while the sum is 41.

The spelling of 3223132121984 in words is "three trillion, two hundred twenty-three billion, one hundred thirty-two million, one hundred twenty-one thousand, nine hundred eighty-four".