3180830688 has 144 divisors (see below), whose sum is σ = 10792247760. Its totient is φ = 908796672.

The previous prime is 3180830687. The next prime is 3180830707. The reversal of 3180830688 is 8860380813.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3180830683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4770 + ... + 79902.

It is an arithmetic number, because the mean of its divisors is an integer number (74946165).

Almost surely, 2^3180830688 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 3180830688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5396123880).

3180830688 is an abundant number, since it is smaller than the sum of its proper divisors (7611417072).

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

3180830688 is a wasteful number, since it uses less digits than its factorization.

3180830688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75166 (or 75145 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 3180830688 is about 56398.8536053704. The cubic root of 3180830688 is about 1470.6641896501.

The spelling of 3180830688 in words is "three billion, one hundred eighty million, eight hundred thirty thousand, six hundred eighty-eight".