3122350560 has 864 divisors, whose sum is σ = 13915268640. Its totient is φ = 631701504.

The previous prime is 3122350507. The next prime is 3122350591. The reversal of 3122350560 is 650532213.

3122350560 is a `hidden beast` number, since 31 + 2 + 23 + 50 + 560 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22790812 + ... + 22790948.

It is an arithmetic number, because the mean of its divisors is an integer number (16105635).

Almost surely, 2^3122350560 is an apocalyptic number.

3122350560 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 3122350560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6957634320).

3122350560 is an abundant number, since it is smaller than the sum of its proper divisors (10792918080).

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

3122350560 is a wasteful number, since it uses less digits than its factorization.

3122350560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 3122350560 is about 55877.9971008267. The cubic root of 3122350560 is about 1461.5955784426.

Adding to 3122350560 its reverse (650532213), we get a palindrome (3772882773).

The spelling of 3122350560 in words is "three billion, one hundred twenty-two million, three hundred fifty thousand, five hundred sixty".