3130865666880 has 1344 divisors, whose sum is σ = 12852949777920. Its totient is φ = 630172680192.

The previous prime is 3130865666849. The next prime is 3130865666923. The reversal of 3130865666880 is 886665680313.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 3670416534 + ... + 3670417386.

It is an arithmetic number, because the mean of its divisors is an integer number (9563206680).

Almost surely, 2^{3130865666880} is an apocalyptic number.

3130865666880 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 3130865666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6426474888960).

3130865666880 is an abundant number, since it is smaller than the sum of its proper divisors (9722084111040).

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

3130865666880 is a wasteful number, since it uses less digits than its factorization.

3130865666880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 3130865666880 in words is "three trillion, one hundred thirty billion, eight hundred sixty-five million, six hundred sixty-six thousand, eight hundred eighty".