3081231984960 has 336 divisors, whose sum is σ = 10958667033600. Its totient is φ = 793802096640.

The previous prime is 3081231984937. The next prime is 3081231984977. The reversal of 3081231984960 is 694891321803.

3081231984960 is a `hidden beast` number, since 30 + 8 + 1 + 2 + 31 + 98 + 496 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3081231984897 and 3081231984906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52913941 + ... + 52972139.

Almost surely, 2^{3081231984960} is an apocalyptic number.

3081231984960 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 3081231984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5479333516800).

3081231984960 is an abundant number, since it is smaller than the sum of its proper divisors (7877435048640).

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

3081231984960 is a wasteful number, since it uses less digits than its factorization.

3081231984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58846 (or 58833 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 3081231984960 in words is "three trillion, eighty-one billion, two hundred thirty-one million, nine hundred eighty-four thousand, nine hundred sixty".