3963810228624 has 135 divisors (see below), whose sum is σ = 11154410312097. Its totient is φ = 1314015120000.

The previous prime is 3963810228617. The next prime is 3963810228641. The reversal of 3963810228624 is 4268220183693.

The square root of 3963810228624 is 1990932.

It is a perfect power (a square), and thus also a powerful number.

3963810228624 is a `hidden beast` number, since 3 + 9 + 6 + 3 + 8 + 1 + 0 + 2 + 2 + 8 + 624 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3147317268624 + 816492960000 = 1774068^2 + 903600^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5996686854 + ... + 5996687514.

Almost surely, 2^{3963810228624} is an apocalyptic number.

3963810228624 is the 1990932-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3963810228624

3963810228624 is an abundant number, since it is smaller than the sum of its proper divisors (7190600083473).

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

3963810228624 is an frugal number, since it uses more digits than its factorization.

3963810228624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 3963810228624 in words is "three trillion, nine hundred sixty-three billion, eight hundred ten million, two hundred twenty-eight thousand, six hundred twenty-four".