3986748416001 has 64 divisors (see below), whose sum is σ = 5871550906368. Its totient is φ = 2390859618048.

The previous prime is 3986748415873. The next prime is 3986748416029. The reversal of 3986748416001 is 1006148476893.

It is not a de Polignac number, because 3986748416001 - 2⁷ = 3986748415873 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3986748406001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 459457275 + ... + 459465951.

It is an arithmetic number, because the mean of its divisors is an integer number (91742982912).

Almost surely, 2^{3986748416001} is an apocalyptic number.

It is an amenable number.

3986748416001 is a deficient number, since it is larger than the sum of its proper divisors (1884802490367).

3986748416001 is a wasteful number, since it uses less digits than its factorization.

3986748416001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9790.

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 3986748416001 in words is "three trillion, nine hundred eighty-six billion, seven hundred forty-eight million, four hundred sixteen thousand, one".