3213364224 has 352 divisors, whose sum is σ = 10470159360. Its totient is φ = 856424448.

The previous prime is 3213364207. The next prime is 3213364289. The reversal of 3213364224 is 4224633123.

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 = 3213364191 and 3213364200.

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, 36105172 + ... + 36105260.

Almost surely, 2^3213364224 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 3213364224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5235079680).

3213364224 is an abundant number, since it is smaller than the sum of its proper divisors (7256795136).

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

3213364224 is a wasteful number, since it uses less digits than its factorization.

3213364224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 197 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

The square root of 3213364224 is about 56686.5435884038. The cubic root of 3213364224 is about 1475.6611761838.

Adding to 3213364224 its reverse (4224633123), we get a palindrome (7437997347).

The spelling of 3213364224 in words is "three billion, two hundred thirteen million, three hundred sixty-four thousand, two hundred twenty-four".