3963606144 has 64 divisors (see below), whose sum is σ = 10569558240. Its totient is φ = 1316028416.

The previous prime is 3963606133. The next prime is 3963606197. The reversal of 3963606144 is 4416063693.

3963606144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3963606096 and 3963606105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78607 + ... + 118769.

Almost surely, 2^3963606144 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 3963606144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5284779120).

3963606144 is an abundant number, since it is smaller than the sum of its proper divisors (6605952096).

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

3963606144 is a wasteful number, since it uses less digits than its factorization.

3963606144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40437 (or 40425 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The square root of 3963606144 is about 62957.1770650495. The cubic root of 3963606144 is about 1582.5720730160.

The spelling of 3963606144 in words is "three billion, nine hundred sixty-three million, six hundred six thousand, one hundred forty-four".