3213443232 has 96 divisors (see below), whose sum is σ = 9392241600. Its totient is φ = 1068897024.

The previous prime is 3213443203. The next prime is 3213443239. The reversal of 3213443232 is 2323443123.

3213443232 is a `hidden beast` number, since 3 + 213 + 443 + 2 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 = 3213443196 and 3213443205.

It is not an unprimeable number, because it can be changed into a prime (3213443239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436123 + ... + 443429.

It is an arithmetic number, because the mean of its divisors is an integer number (97835850).

Almost surely, 2^3213443232 is an apocalyptic number.

3213443232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3213443232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4696120800).

3213443232 is an abundant number, since it is smaller than the sum of its proper divisors (6178798368).

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

3213443232 is a wasteful number, since it uses less digits than its factorization.

3213443232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7835 (or 7821 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 3213443232 is about 56687.2404690862. The cubic root of 3213443232 is about 1475.6732702670.

Adding to 3213443232 its reverse (2323443123), we get a palindrome (5536886355).

The spelling of 3213443232 in words is "three billion, two hundred thirteen million, four hundred forty-three thousand, two hundred thirty-two".