3963844234240 has 264 divisors, whose sum is σ = 10718550626256. Its totient is φ = 1394882150400.

The previous prime is 3963844234187. The next prime is 3963844234309. The reversal of 3963844234240 is 424324483693.

It is a happy number.

It is a super-2 number, since 2×3963844234240² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54086902 + ... + 54160138.

It is an arithmetic number, because the mean of its divisors is an integer number (40600570554).

Almost surely, 2^{3963844234240} 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 3963844234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5359275313128).

3963844234240 is an abundant number, since it is smaller than the sum of its proper divisors (6754706392016).

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

3963844234240 is a wasteful number, since it uses less digits than its factorization.

3963844234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73335 (or 73286 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 52.

The spelling of 3963844234240 in words is "three trillion, nine hundred sixty-three billion, eight hundred forty-four million, two hundred thirty-four thousand, two hundred forty".