3963531264 has 416 divisors, whose sum is σ = 13587886080. Its totient is φ = 997785600.

The previous prime is 3963531217. The next prime is 3963531293. The reversal of 3963531264 is 4621353693.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 55824349 + ... + 55824419.

Almost surely, 2^3963531264 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 3963531264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6793943040).

3963531264 is an abundant number, since it is smaller than the sum of its proper divisors (9624354816).

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

3963531264 is a wasteful number, since it uses less digits than its factorization.

3963531264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 153 counting only the distinct ones).

The product of its digits is 349920, while the sum is 42.

The square root of 3963531264 is about 62956.5823722985. The cubic root of 3963531264 is about 1582.5621070290.

The spelling of 3963531264 in words is "three billion, nine hundred sixty-three million, five hundred thirty-one thousand, two hundred sixty-four".