3963324456 has 576 divisors, whose sum is σ = 14616576000. Its totient is φ = 946183680.

The previous prime is 3963324389. The next prime is 3963324467. The reversal of 3963324456 is 6544233693.

3963324456 is a `hidden beast` number, since 3 + 9 + 633 + 2 + 4 + 4 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 50168625 + ... + 50168703.

It is an arithmetic number, because the mean of its divisors is an integer number (25376000).

Almost surely, 2^3963324456 is an apocalyptic number.

3963324456 is a gapful number since it is divisible by the number (36) 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 3963324456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7308288000).

3963324456 is an abundant number, since it is smaller than the sum of its proper divisors (10653251544).

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

3963324456 is a wasteful number, since it uses less digits than its factorization.

3963324456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 154 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 45.

The square root of 3963324456 is about 62954.9398856039. The cubic root of 3963324456 is about 1582.5345817260.

The spelling of 3963324456 in words is "three billion, nine hundred sixty-three million, three hundred twenty-four thousand, four hundred fifty-six".