3601180128 has 144 divisors (see below), whose sum is σ = 11842543440. Its totient is φ = 949745664.

The previous prime is 3601180111. The next prime is 3601180133. The reversal of 3601180128 is 8210811063.

3601180128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3601180095 and 3601180104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31708 + ... + 90596.

It is an arithmetic number, because the mean of its divisors is an integer number (82239885).

Almost surely, 2^3601180128 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 3601180128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5921271720).

3601180128 is an abundant number, since it is smaller than the sum of its proper divisors (8241363312).

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

3601180128 is a wasteful number, since it uses less digits than its factorization.

3601180128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58929 (or 58914 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 3601180128 is about 60009.8335941702. The cubic root of 3601180128 is about 1532.7863174570.

The spelling of 3601180128 in words is "three billion, six hundred one million, one hundred eighty thousand, one hundred twenty-eight".