323721216 has 288 divisors, whose sum is σ = 1156690080. Its totient is φ = 84934656.

The previous prime is 323721197. The next prime is 323721217. The reversal of 323721216 is 612127323.

It is a tau number, because it is divible by the number of its divisors (288).

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 323721216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323721217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1677216 + ... + 1677408.

It is an arithmetic number, because the mean of its divisors is an integer number (4016285).

Almost surely, 2^323721216 is an apocalyptic number.

323721216 is a gapful number since it is divisible by the number (36) 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 323721216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578345040).

323721216 is an abundant number, since it is smaller than the sum of its proper divisors (832968864).

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

323721216 is a wasteful number, since it uses less digits than its factorization.

323721216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 218 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 323721216 is about 17992.2543334625. The cubic root of 323721216 is about 686.6314964025.

Adding to 323721216 its reverse (612127323), we get a palindrome (935848539).

The spelling of 323721216 in words is "three hundred twenty-three million, seven hundred twenty-one thousand, two hundred sixteen".