3082131360000 has 3645 divisors, whose sum is σ = 14985345438063. Its totient is φ = 606735360000.

The previous prime is 3082131359987. The next prime is 3082131360023. The reversal of 3082131360000 is 631312803.

It is a happy number.

The square root of 3082131360000 is 1755600.

It is a perfect power (a square), and thus also a powerful number.

3082131360000 is a `hidden beast` number, since 3 + 0 + 8 + 21 + 31 + 3 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 241639098624 + 2840492261376 = 491568^2 + 1685376^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 162217439991 + ... + 162217440009.

Almost surely, 2^{3082131360000} is an apocalyptic number.

3082131360000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3082131360000 is the 1755600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3082131360000

3082131360000 is an abundant number, since it is smaller than the sum of its proper divisors (11903214078063).

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

3082131360000 is a wasteful number, since it uses less digits than its factorization.

3082131360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 3082131360000 its reverse (631312803), we get a palindrome (3082762672803).

The spelling of 3082131360000 in words is "three trillion, eighty-two billion, one hundred thirty-one million, three hundred sixty thousand".