3223891968 has 416 divisors, whose sum is σ = 10530611712. Its totient is φ = 865075200.

The previous prime is 3223891967. The next prime is 3223891969. The reversal of 3223891968 is 8691983223.

It is an interprime number because it is at equal distance from previous prime (3223891967) and next prime (3223891969).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 3223891968.

It is not an unprimeable number, because it can be changed into a prime (3223891967) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 52850658 + ... + 52850718.

Almost surely, 2^3223891968 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 3223891968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5265305856).

3223891968 is an abundant number, since it is smaller than the sum of its proper divisors (7306719744).

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

3223891968 is a wasteful number, since it uses less digits than its factorization.

3223891968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 117 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The square root of 3223891968 is about 56779.3269421186. The cubic root of 3223891968 is about 1477.2709582229.

The spelling of 3223891968 in words is "three billion, two hundred twenty-three million, eight hundred ninety-one thousand, nine hundred sixty-eight".