3131422882560 has 1728 divisors, whose sum is σ = 13461483450240. Its totient is φ = 695280402432.

The previous prime is 3131422882531. The next prime is 3131422882579. The reversal of 3131422882560 is 652882241313.

3131422882560 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 4 + 2 + 2 + 8 + 82 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 5075239372 + ... + 5075239988.

It is an arithmetic number, because the mean of its divisors is an integer number (7790210330).

Almost surely, 2^{3131422882560} is an apocalyptic number.

3131422882560 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 3131422882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6730741725120).

3131422882560 is an abundant number, since it is smaller than the sum of its proper divisors (10330060567680).

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

3131422882560 is an frugal number, since it uses more digits than its factorization.

3131422882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 3131422882560 in words is "three trillion, one hundred thirty-one billion, four hundred twenty-two million, eight hundred eighty-two thousand, five hundred sixty".