3223201891968 has 192 divisors, whose sum is σ = 9379004856000. Its totient is φ = 1062431023104.

The previous prime is 3223201891963. The next prime is 3223201891969. The reversal of 3223201891968 is 8691981023223.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (3223201891963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37324296 + ... + 37410552.

It is an arithmetic number, because the mean of its divisors is an integer number (48848983625).

Almost surely, 2^{3223201891968} 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 3223201891968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4689502428000).

3223201891968 is an abundant number, since it is smaller than the sum of its proper divisors (6155802964032).

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

3223201891968 is a wasteful number, since it uses less digits than its factorization.

3223201891968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86639 (or 86624 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 3223201891968 in words is "three trillion, two hundred twenty-three billion, two hundred one million, eight hundred ninety-one thousand, nine hundred sixty-eight".