3201320200320 has 768 divisors, whose sum is σ = 12826132375680. Its totient is φ = 727152721920.

The previous prime is 3201320200301. The next prime is 3201320200363. The reversal of 3201320200320 is 230020231023.

It is a happy number.

3201320200320 is a `hidden beast` number, since 3 + 2 + 0 + 1 + 320 + 20 + 0 + 320 = 666.

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 = 3201320200293 and 3201320200302.

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 95 ways as a sum of consecutive naturals, for example, 244499694 + ... + 244512786.

Almost surely, 2^{3201320200320} is an apocalyptic number.

3201320200320 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 3201320200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6413066187840).

3201320200320 is an abundant number, since it is smaller than the sum of its proper divisors (9624812175360).

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

3201320200320 is a wasteful number, since it uses less digits than its factorization.

3201320200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13373 (or 13358 counting only the distinct ones).

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

Adding to 3201320200320 its reverse (230020231023), we get a palindrome (3431340431343).

The spelling of 3201320200320 in words is "three trillion, two hundred one billion, three hundred twenty million, two hundred thousand, three hundred twenty".