3956744256 has 112 divisors (see below), whose sum is σ = 10894673664. Its totient is φ = 1266343936.

The previous prime is 3956744249. The next prime is 3956744273. The reversal of 3956744256 is 6524476593.

It is a junction number, because it is equal to n+sod(n) for n = 3956744199 and 3956744208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474136 + ... + 482408.

It is an arithmetic number, because the mean of its divisors is an integer number (97273872).

Almost surely, 2^3956744256 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 3956744256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5447336832).

3956744256 is an abundant number, since it is smaller than the sum of its proper divisors (6937929408).

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

3956744256 is a wasteful number, since it uses less digits than its factorization.

3956744256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8388 (or 8378 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 51.

The square root of 3956744256 is about 62902.6569868078. The cubic root of 3956744256 is about 1581.6582835141.

The spelling of 3956744256 in words is "three billion, nine hundred fifty-six million, seven hundred forty-four thousand, two hundred fifty-six".