3963128904 has 128 divisors (see below), whose sum is σ = 12921580800. Its totient is φ = 1101703680.

The previous prime is 3963128891. The next prime is 3963128933. The reversal of 3963128904 is 4098213693.

It is a happy number.

3963128904 is a `hidden beast` number, since 3 + 9 + 631 + 2 + 8 + 9 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3963128904.

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 31 ways as a sum of consecutive naturals, for example, 20524 + ... + 91364.

It is an arithmetic number, because the mean of its divisors is an integer number (100949850).

Almost surely, 2^3963128904 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 3963128904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6460790400).

3963128904 is an abundant number, since it is smaller than the sum of its proper divisors (8958451896).

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

3963128904 is a wasteful number, since it uses less digits than its factorization.

3963128904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70900 (or 70890 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 3963128904 is about 62953.3867555988. The cubic root of 3963128904 is about 1582.5085536700.

The spelling of 3963128904 in words is "three billion, nine hundred sixty-three million, one hundred twenty-eight thousand, nine hundred four".