3181680320 has 224 divisors, whose sum is σ = 9580034688. Its totient is φ = 979402752.

The previous prime is 3181680311. The next prime is 3181680323. The reversal of 3181680320 is 230861813.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (3181680323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1075964 + ... + 1078916.

It is an arithmetic number, because the mean of its divisors is an integer number (42768012).

Almost surely, 2^3181680320 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 3181680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4790017344).

3181680320 is an abundant number, since it is smaller than the sum of its proper divisors (6398354368).

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

3181680320 is a wasteful number, since it uses less digits than its factorization.

3181680320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3027 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 3181680320 is about 56406.3854541310. The cubic root of 3181680320 is about 1470.7951210789.

The spelling of 3181680320 in words is "three billion, one hundred eighty-one million, six hundred eighty thousand, three hundred twenty".