3959456256 has 400 divisors, whose sum is σ = 14117203584. Its totient is φ = 1080262656.

The previous prime is 3959456201. The next prime is 3959456257. The reversal of 3959456256 is 6526549593.

It is a happy number.

3959456256 is a `hidden beast` number, since 3 + 9 + 5 + 9 + 4 + 5 + 625 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3959456257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6676696 + ... + 6677288.

Almost surely, 2^3959456256 is an apocalyptic number.

3959456256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3959456256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7058601792).

3959456256 is an abundant number, since it is smaller than the sum of its proper divisors (10157747328).

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

3959456256 is an equidigital number, since it uses as much as digits as its factorization.

3959456256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 628 counting only the distinct ones).

The product of its digits is 8748000, while the sum is 54.

The square root of 3959456256 is about 62924.2104122094. The cubic root of 3959456256 is about 1582.0195635081.

The spelling of 3959456256 in words is "three billion, nine hundred fifty-nine million, four hundred fifty-six thousand, two hundred fifty-six".