3200210320 has 80 divisors (see below), whose sum is σ = 7740598320. Its totient is φ = 1228953600.

The previous prime is 3200210287. The next prime is 3200210329. The reversal of 3200210320 is 230120023.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 101284096 + 3098926224 = 10064^2 + 55668^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 3200210320.

It is not an unprimeable number, because it can be changed into a prime (3200210329) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 416110 + ... + 423730.

It is an arithmetic number, because the mean of its divisors is an integer number (96757479).

Almost surely, 2^3200210320 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 3200210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870299160).

3200210320 is an abundant number, since it is smaller than the sum of its proper divisors (4540388000).

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

3200210320 is a wasteful number, since it uses less digits than its factorization.

3200210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7844 (or 7838 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3200210320 is about 56570.4014481071. The cubic root of 3200210320 is about 1473.6448831449.

Adding to 3200210320 its reverse (230120023), we get a palindrome (3430330343).

The spelling of 3200210320 in words is "three billion, two hundred million, two hundred ten thousand, three hundred twenty".