3613118080 has 384 divisors, whose sum is σ = 10609154640. Its totient is φ = 1167851520.

The previous prime is 3613118063. The next prime is 3613118083. The reversal of 3613118080 is 808113163.

It can be written as a sum of positive squares in 8 ways, for example, as 1575137344 + 2037980736 = 39688^2 + 45144^2 .

It is not an unprimeable number, because it can be changed into a prime (3613118083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37248592 + ... + 37248688.

Almost surely, 2^3613118080 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 3613118080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5304577320).

3613118080 is an abundant number, since it is smaller than the sum of its proper divisors (6996036560).

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

3613118080 is a wasteful number, since it uses less digits than its factorization.

3613118080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 3613118080 is about 60109.2179287004. The cubic root of 3613118080 is about 1534.4781838516.

The spelling of 3613118080 in words is "three billion, six hundred thirteen million, one hundred eighteen thousand, eighty".