3201600430200 has 192 divisors, whose sum is σ = 10488959913600. Its totient is φ = 805602240000.

The previous prime is 3201600430177. The next prime is 3201600430247. The reversal of 3201600430200 is 20340061023.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 2301954 + ... + 3420846.

It is an arithmetic number, because the mean of its divisors is an integer number (54629999550).

Almost surely, 2^{3201600430200} is an apocalyptic number.

3201600430200 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 3201600430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5244479956800).

3201600430200 is an abundant number, since it is smaller than the sum of its proper divisors (7287359483400).

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

3201600430200 is a wasteful number, since it uses less digits than its factorization.

3201600430200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119182 (or 1119173 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 3201600430200 its reverse (20340061023), we get a palindrome (3221940491223).

The spelling of 3201600430200 in words is "three trillion, two hundred one billion, six hundred million, four hundred thirty thousand, two hundred".