3180027872 has 144 divisors (see below), whose sum is σ = 7722948240. Its totient is φ = 1281595392.

The previous prime is 3180027859. The next prime is 3180027883. The reversal of 3180027872 is 2787200813.

It is a super-2 number, since 2×3180027872² = 20225154533393696768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

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 23 ways as a sum of consecutive naturals, for example, 5153708 + ... + 5154324.

It is an arithmetic number, because the mean of its divisors is an integer number (53631585).

Almost surely, 2^3180027872 is an apocalyptic number.

3180027872 is a gapful number since it is divisible by the number (32) 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 3180027872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3861474120).

3180027872 is an abundant number, since it is smaller than the sum of its proper divisors (4542920368).

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

3180027872 is a wasteful number, since it uses less digits than its factorization.

3180027872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The square root of 3180027872 is about 56391.7358484379. The cubic root of 3180027872 is about 1470.5404513144.

The spelling of 3180027872 in words is "three billion, one hundred eighty million, twenty-seven thousand, eight hundred seventy-two".