3130216992 has 144 divisors (see below), whose sum is σ = 10410079680. Its totient is φ = 873524736.

The previous prime is 3130216981. The next prime is 3130217011. The reversal of 3130216992 is 2996120313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68634 + ... + 104742.

It is an arithmetic number, because the mean of its divisors is an integer number (72292220).

Almost surely, 2^3130216992 is an apocalyptic number.

3130216992 is a gapful number since it is divisible by the number (32) 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 3130216992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5205039840).

3130216992 is an abundant number, since it is smaller than the sum of its proper divisors (7279862688).

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

3130216992 is a wasteful number, since it uses less digits than its factorization.

3130216992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36175 (or 36164 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 3130216992 is about 55948.3421738303. The cubic root of 3130216992 is about 1462.8219942349.

The spelling of 3130216992 in words is "three billion, one hundred thirty million, two hundred sixteen thousand, nine hundred ninety-two".