3311441120 has 96 divisors (see below), whose sum is σ = 8563514400. Its totient is φ = 1202595840.

The previous prime is 3311441117. The next prime is 3311441129. The reversal of 3311441120 is 211441133.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3311441092 and 3311441101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3311441129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113831 + ... + 139929.

It is an arithmetic number, because the mean of its divisors is an integer number (89203275).

Almost surely, 2^3311441120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3311441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4281757200).

3311441120 is an abundant number, since it is smaller than the sum of its proper divisors (5252073280).

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

3311441120 is a wasteful number, since it uses less digits than its factorization.

3311441120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26188 (or 26180 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 3311441120 is about 57545.1224692415. The cubic root of 3311441120 is about 1490.5241343291.

Adding to 3311441120 its reverse (211441133), we get a palindrome (3522882253).

The spelling of 3311441120 in words is "three billion, three hundred eleven million, four hundred forty-one thousand, one hundred twenty".