3112000320 has 224 divisors, whose sum is σ = 11608490880. Its totient is φ = 696360960.

The previous prime is 3112000319. The next prime is 3112000369. The reversal of 3112000320 is 230002113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3112000296 and 3112000305.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 125946 + ... + 148614.

It is an arithmetic number, because the mean of its divisors is an integer number (51823620).

Almost surely, 2^3112000320 is an apocalyptic number.

3112000320 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 3112000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5804245440).

3112000320 is an abundant number, since it is smaller than the sum of its proper divisors (8496490560).

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

3112000320 is a wasteful number, since it uses less digits than its factorization.

3112000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22713 (or 22703 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3112000320 is about 55785.3055920643. The cubic root of 3112000320 is about 1459.9787824526.

Adding to 3112000320 its reverse (230002113), we get a palindrome (3342002433).

The spelling of 3112000320 in words is "three billion, one hundred twelve million, three hundred twenty", and thus it is an aban number.