3946606568640 has 672 divisors, whose sum is σ = 14075254080576. Its totient is φ = 1014438297600.

The previous prime is 3946606568627. The next prime is 3946606568651. The reversal of 3946606568640 is 468656066493.

It is a happy number.

3946606568640 is a `hidden beast` number, since 3 + 9 + 4 + 6 + 6 + 0 + 6 + 568 + 64 + 0 = 666.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3755096115 + ... + 3755097165.

Almost surely, 2^{3946606568640} is an apocalyptic number.

3946606568640 is a gapful number since it is divisible by the number (30) 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 3946606568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7037627040288).

3946606568640 is an abundant number, since it is smaller than the sum of its proper divisors (10128647511936).

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

3946606568640 is a wasteful number, since it uses less digits than its factorization.

3946606568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 3946606568640 in words is "three trillion, nine hundred forty-six billion, six hundred six million, five hundred sixty-eight thousand, six hundred forty".