3120313680 has 480 divisors, whose sum is σ = 12033515520. Its totient is φ = 717696000.

The previous prime is 3120313657. The next prime is 3120313687. The reversal of 3120313680 is 863130213.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3120313687) 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 95 ways as a sum of consecutive naturals, for example, 17431831 + ... + 17432009.

It is an arithmetic number, because the mean of its divisors is an integer number (25069824).

Almost surely, 2^3120313680 is an apocalyptic number.

3120313680 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 3120313680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6016757760).

3120313680 is an abundant number, since it is smaller than the sum of its proper divisors (8913201840).

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

3120313680 is a wasteful number, since it uses less digits than its factorization.

3120313680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3120313680 is about 55859.7679909253. The cubic root of 3120313680 is about 1461.2776830672.

Adding to 3120313680 its reverse (863130213), we get a palindrome (3983443893).

The spelling of 3120313680 in words is "three billion, one hundred twenty million, three hundred thirteen thousand, six hundred eighty".