3201313320 has 256 divisors, whose sum is σ = 10973491200. Its totient is φ = 829866240.

The previous prime is 3201313307. The next prime is 3201313327. The reversal of 3201313320 is 233131023.

3201313320 is a `hidden beast` number, since 32 + 0 + 1 + 313 + 320 = 666.

It is a super-4 number, since 4×3201313320⁴ (a number of 39 digits) contains 4444 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 = 3201313293 and 3201313302.

It is not an unprimeable number, because it can be changed into a prime (3201313327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6364189 + ... + 6364691.

It is an arithmetic number, because the mean of its divisors is an integer number (42865200).

Almost surely, 2^3201313320 is an apocalyptic number.

3201313320 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 3201313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486745600).

3201313320 is an abundant number, since it is smaller than the sum of its proper divisors (7772177880).

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

3201313320 is a wasteful number, since it uses less digits than its factorization.

3201313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3201313320 is about 56580.1495226020. The cubic root of 3201313320 is about 1473.8141682269.

Adding to 3201313320 its reverse (233131023), we get a palindrome (3434444343).

The spelling of 3201313320 in words is "three billion, two hundred one million, three hundred thirteen thousand, three hundred twenty".