3956405643648 has 384 divisors, whose sum is σ = 12133414275840. Its totient is φ = 1233145036800.

The previous prime is 3956405643643. The next prime is 3956405643661. The reversal of 3956405643648 is 8463465046593.

3956405643648 is a `hidden beast` number, since 3 + 9 + 5 + 6 + 4 + 0 + 564 + 3 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3956405643643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2864883918 + ... + 2864885298.

It is an arithmetic number, because the mean of its divisors is an integer number (31597433010).

Almost surely, 2^{3956405643648} 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 3956405643648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6066707137920).

3956405643648 is an abundant number, since it is smaller than the sum of its proper divisors (8177008632192).

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

3956405643648 is a wasteful number, since it uses less digits than its factorization.

3956405643648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 63.

The spelling of 3956405643648 in words is "three trillion, nine hundred fifty-six billion, four hundred five million, six hundred forty-three thousand, six hundred forty-eight".