3111125760 has 360 divisors, whose sum is σ = 11447144016. Its totient is φ = 806215680.

The previous prime is 3111125737. The next prime is 3111125761. The reversal of 3111125760 is 675211113.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3111125761) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3835755 + ... + 3836565.

Almost surely, 2^3111125760 is an apocalyptic number.

3111125760 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 3111125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5723572008).

3111125760 is an abundant number, since it is smaller than the sum of its proper divisors (8336018256).

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

3111125760 is an equidigital number, since it uses as much as digits as its factorization.

3111125760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 3111125760 is about 55777.4664179003. The cubic root of 3111125760 is about 1459.8420045456.

Adding to 3111125760 its reverse (675211113), we get a palindrome (3786336873).

The spelling of 3111125760 in words is "three billion, one hundred eleven million, one hundred twenty-five thousand, seven hundred sixty".