3120313560 has 256 divisors, whose sum is σ = 11670220800. Its totient is φ = 649838592.

The previous prime is 3120313543. The next prime is 3120313571. The reversal of 3120313560 is 653130213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3120313560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 860872 + ... + 864488.

It is an arithmetic number, because the mean of its divisors is an integer number (45586800).

Almost surely, 2^3120313560 is an apocalyptic number.

3120313560 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 3120313560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5835110400).

3120313560 is an abundant number, since it is smaller than the sum of its proper divisors (8549907240).

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

3120313560 is a wasteful number, since it uses less digits than its factorization.

3120313560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3730 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 3120313560 is about 55859.7669168069. The cubic root of 3120313560 is about 1461.2776643347.

Adding to 3120313560 its reverse (653130213), we get a palindrome (3773443773).

The spelling of 3120313560 in words is "three billion, one hundred twenty million, three hundred thirteen thousand, five hundred sixty".