323411616 has 288 divisors, whose sum is σ = 1100736000. Its totient is φ = 92378880.

The previous prime is 323411609. The next prime is 323411617. The reversal of 323411616 is 616114323.

323411616 is a `hidden beast` number, since 3 + 2 + 3 + 41 + 1 + 616 = 666.

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

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 323411616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323411617) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1625085 + ... + 1625283.

It is an arithmetic number, because the mean of its divisors is an integer number (3822000).

Almost surely, 2^323411616 is an apocalyptic number.

323411616 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 323411616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550368000).

323411616 is an abundant number, since it is smaller than the sum of its proper divisors (777324384).

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

323411616 is a wasteful number, since it uses less digits than its factorization.

323411616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 234 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 323411616 is about 17983.6485730788. The cubic root of 323411616 is about 686.4125333914.

Adding to 323411616 its reverse (616114323), we get a palindrome (939525939).

The spelling of 323411616 in words is "three hundred twenty-three million, four hundred eleven thousand, six hundred sixteen".