3180056880 has 960 divisors, whose sum is σ = 14135095296. Its totient is φ = 580608000.

The previous prime is 3180056861. The next prime is 3180056909. The reversal of 3180056880 is 886500813.

It is a happy number.

3180056880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3180056880² = 20225523520070668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52132050 + ... + 52132110.

Almost surely, 2^3180056880 is an apocalyptic number.

3180056880 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 3180056880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7067547648).

3180056880 is an abundant number, since it is smaller than the sum of its proper divisors (10955038416).

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

3180056880 is a wasteful number, since it uses less digits than its factorization.

3180056880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 3180056880 is about 56391.9930486590. The cubic root of 3180056880 is about 1470.5449226911.

The spelling of 3180056880 in words is "three billion, one hundred eighty million, fifty-six thousand, eight hundred eighty".