3961306944 has 280 divisors, whose sum is σ = 13519026048. Its totient is φ = 1123476480.

The previous prime is 3961306907. The next prime is 3961306949. The reversal of 3961306944 is 4496031693.

3961306944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3961306944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3961306949) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6277509 + ... + 6278139.

Almost surely, 2^3961306944 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 3961306944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6759513024).

3961306944 is an abundant number, since it is smaller than the sum of its proper divisors (9557719104).

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

3961306944 is a wasteful number, since it uses less digits than its factorization.

3961306944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 3961306944 is about 62938.9143852990. The cubic root of 3961306944 is about 1582.2660088435.

The spelling of 3961306944 in words is "three billion, nine hundred sixty-one million, three hundred six thousand, nine hundred forty-four".