3223828944 has 160 divisors (see below), whose sum is σ = 10861725440. Its totient is φ = 896168448.

The previous prime is 3223828939. The next prime is 3223828963. The reversal of 3223828944 is 4498283223.

3223828944 is a `hidden beast` number, since 322 + 3 + 8 + 289 + 44 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3223828944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97482 + ... + 126294.

It is an arithmetic number, because the mean of its divisors is an integer number (67885784).

Almost surely, 2^3223828944 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 3223828944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5430862720).

3223828944 is an abundant number, since it is smaller than the sum of its proper divisors (7637896496).

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

3223828944 is a wasteful number, since it uses less digits than its factorization.

3223828944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28874 (or 28862 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 3223828944 is about 56778.7719486781. The cubic root of 3223828944 is about 1477.2613317495.

The spelling of 3223828944 in words is "three billion, two hundred twenty-three million, eight hundred twenty-eight thousand, nine hundred forty-four".