3181135680 has 560 divisors, whose sum is σ = 12108704256. Its totient is φ = 791285760.

The previous prime is 3181135663. The next prime is 3181135777. The reversal of 3181135680 is 865311813.

3181135680 is a `hidden beast` number, since 3 + 1 + 81 + 13 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29730187 + ... + 29730293.

Almost surely, 2^3181135680 is an apocalyptic number.

3181135680 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 3181135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6054352128).

3181135680 is an abundant number, since it is smaller than the sum of its proper divisors (8927568576).

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

3181135680 is a wasteful number, since it uses less digits than its factorization.

3181135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 3181135680 is about 56401.5574253052. The cubic root of 3181135680 is about 1470.7111927259.

The spelling of 3181135680 in words is "three billion, one hundred eighty-one million, one hundred thirty-five thousand, six hundred eighty".