3315541120 has 64 divisors (see below), whose sum is σ = 7953717240. Its totient is φ = 1321615360.

The previous prime is 3315541111. The next prime is 3315541147. The reversal of 3315541120 is 211455133.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3014449216 + 301091904 = 54904^2 + 17352^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178680 + ... + 196360.

Almost surely, 2^3315541120 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 3315541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3976858620).

3315541120 is an abundant number, since it is smaller than the sum of its proper divisors (4638176120).

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

3315541120 is a wasteful number, since it uses less digits than its factorization.

3315541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17993 (or 17981 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 3315541120 is about 57580.7356674088. The cubic root of 3315541120 is about 1491.1390356492.

Adding to 3315541120 its reverse (211455133), we get a palindrome (3526996253).

The spelling of 3315541120 in words is "three billion, three hundred fifteen million, five hundred forty-one thousand, one hundred twenty".