3223922688 has 192 divisors, whose sum is σ = 10915632000. Its totient is φ = 921010176.

The previous prime is 3223922671. The next prime is 3223922731. The reversal of 3223922688 is 8862293223.

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

It is a super-2 number, since 2×3223922688² = 20787354996402290688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382908 + ... + 391236.

It is an arithmetic number, because the mean of its divisors is an integer number (56852250).

Almost surely, 2^3223922688 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 3223922688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5457816000).

3223922688 is an abundant number, since it is smaller than the sum of its proper divisors (7691709312).

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

3223922688 is an equidigital number, since it uses as much as digits as its factorization.

3223922688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8367 (or 8341 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 3223922688 is about 56779.5974624689. The cubic root of 3223922688 is about 1477.2756504418.

The spelling of 3223922688 in words is "three billion, two hundred twenty-three million, nine hundred twenty-two thousand, six hundred eighty-eight".