3163072872960 has 3840 divisors, whose sum is σ = 15751871815680. Its totient is φ = 565240135680.

The previous prime is 3163072872931. The next prime is 3163072872961. The reversal of 3163072872960 is 692782703613.

3163072872960 is a `hidden beast` number, since 31 + 6 + 307 + 287 + 29 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a junction number, because it is equal to n+sod(n) for n = 3163072872897 and 3163072872906.

It is not an unprimeable number, because it can be changed into a prime (3163072872961) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 35540144596 + ... + 35540144684.

It is an arithmetic number, because the mean of its divisors is an integer number (4102049952).

Almost surely, 2^{3163072872960} is an apocalyptic number.

3163072872960 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 3163072872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7875935907840).

3163072872960 is an abundant number, since it is smaller than the sum of its proper divisors (12588798942720).

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

3163072872960 is a wasteful number, since it uses less digits than its factorization.

3163072872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 3163072872960 in words is "three trillion, one hundred sixty-three billion, seventy-two million, eight hundred seventy-two thousand, nine hundred sixty".