3186786240001 has 64 divisors (see below), whose sum is σ = 4228583546880. Its totient is φ = 2330980727040.

The previous prime is 3186786239993. The next prime is 3186786240037. The reversal of 3186786240001 is 1000426876813.

It is a happy number.

It is not a de Polignac number, because 3186786240001 - 2³ = 3186786239993 is a prime.

It is a super-2 number, since 2×3186786240001² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3186786240041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81985311 + ... + 82024171.

It is an arithmetic number, because the mean of its divisors is an integer number (66071617920).

Almost surely, 2^{3186786240001} is an apocalyptic number.

It is an amenable number.

3186786240001 is a deficient number, since it is larger than the sum of its proper divisors (1041797306879).

3186786240001 is a wasteful number, since it uses less digits than its factorization.

3186786240001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40046.

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 3186786240001 in words is "three trillion, one hundred eighty-six billion, seven hundred eighty-six million, two hundred forty thousand, one".