3201232320 has 448 divisors, whose sum is σ = 13272698880. Its totient is φ = 716083200.

The previous prime is 3201232319. The next prime is 3201232357. The reversal of 3201232320 is 232321023.

It is a happy number.

3201232320 is a `hidden beast` number, since 320 + 1 + 2 + 323 + 20 = 666.

It is a super-2 number, since 2×3201232320² = 20495776733225164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3201232293 and 3201232302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1234225 + ... + 1236815.

It is an arithmetic number, because the mean of its divisors is an integer number (29626560).

Almost surely, 2^3201232320 is an apocalyptic number.

3201232320 is a gapful number since it is divisible by the number (30) 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 3201232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6636349440).

3201232320 is an abundant number, since it is smaller than the sum of its proper divisors (10071466560).

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

3201232320 is a wasteful number, since it uses less digits than its factorization.

3201232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3201232320 is about 56579.4337193295. The cubic root of 3201232320 is about 1473.8017379165.

Adding to 3201232320 its reverse (232321023), we get a palindrome (3433553343).

The spelling of 3201232320 in words is "three billion, two hundred one million, two hundred thirty-two thousand, three hundred twenty".