3223887744 has 256 divisors, whose sum is σ = 10786867200. Its totient is φ = 828733440.

The previous prime is 3223887731. The next prime is 3223887767. The reversal of 3223887744 is 4477883223.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 3223887693 and 3223887702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3163267 + ... + 3164285.

It is an arithmetic number, because the mean of its divisors is an integer number (42136200).

Almost surely, 2^3223887744 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 3223887744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5393433600).

3223887744 is an abundant number, since it is smaller than the sum of its proper divisors (7562979456).

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

3223887744 is a wasteful number, since it uses less digits than its factorization.

3223887744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1149 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 48.

The square root of 3223887744 is about 56779.2897454697. The cubic root of 3223887744 is about 1477.2703130405.

The spelling of 3223887744 in words is "three billion, two hundred twenty-three million, eight hundred eighty-seven thousand, seven hundred forty-four".