3963551904 has 144 divisors (see below), whose sum is σ = 12852606312. Its totient is φ = 1147797504.

The previous prime is 3963551881. The next prime is 3963551939. The reversal of 3963551904 is 4091553693.

3963551904 is a `hidden beast` number, since 3 + 9 + 6 + 3 + 551 + 90 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3008741904 + 954810000 = 54852^2 + 30900^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 3963551904.

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 23 ways as a sum of consecutive naturals, for example, 32512 + ... + 94784.

Almost surely, 2^3963551904 is an apocalyptic number.

3963551904 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3963551904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6426303156).

3963551904 is an abundant number, since it is smaller than the sum of its proper divisors (8889054408).

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

3963551904 is a wasteful number, since it uses less digits than its factorization.

3963551904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62319 (or 62308 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The square root of 3963551904 is about 62956.7462945791. The cubic root of 3963551904 is about 1582.5648540764.

The spelling of 3963551904 in words is "three billion, nine hundred sixty-three million, five hundred fifty-one thousand, nine hundred four".