3223943424 has 144 divisors (see below), whose sum is σ = 10267420800. Its totient is φ = 991954944.

The previous prime is 3223943423. The next prime is 3223943477. The reversal of 3223943424 is 4243493223.

3223943424 is a `hidden beast` number, since 3 + 223 + 9 + 4 + 3 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3223943424² = 20787622402305687552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (3223943423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71917 + ... + 107795.

Almost surely, 2^3223943424 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 3223943424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5133710400).

3223943424 is an abundant number, since it is smaller than the sum of its proper divisors (7043477376).

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

3223943424 is a wasteful number, since it uses less digits than its factorization.

3223943424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35917 (or 35897 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 3223943424 is about 56779.7800629766. The cubic root of 3223943424 is about 1477.2788176726.

The spelling of 3223943424 in words is "three billion, two hundred twenty-three million, nine hundred forty-three thousand, four hundred twenty-four".