3947945803201 has 8 divisors (see below), whose sum is σ = 4000853619360. Its totient is φ = 3895227962208.

The previous prime is 3947945803181. The next prime is 3947945803247. The reversal of 3947945803201 is 1023085497493.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3947945803201 - 2¹⁷ = 3947945672129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3947945809201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47451951 + ... + 47535076.

It is an arithmetic number, because the mean of its divisors is an integer number (500106702420).

Almost surely, 2^{3947945803201} is an apocalyptic number.

It is an amenable number.

3947945803201 is a deficient number, since it is larger than the sum of its proper divisors (52907816159).

3947945803201 is an equidigital number, since it uses as much as digits as its factorization.

3947945803201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94987583.

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 3947945803201 in words is "three trillion, nine hundred forty-seven billion, nine hundred forty-five million, eight hundred three thousand, two hundred one".