3646635667311 has 32 divisors (see below), whose sum is σ = 5985752145408. Its totient is φ = 1923008503680.

The previous prime is 3646635667303. The next prime is 3646635667357. The reversal of 3646635667311 is 1137665366463.

3646635667311 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3646635667311 - 2³ = 3646635667303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3646635667111) 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 31 ways as a sum of consecutive naturals, for example, 635745 + ... + 2774426.

It is an arithmetic number, because the mean of its divisors is an integer number (187054754544).

Almost surely, 2^{3646635667311} is an apocalyptic number.

3646635667311 is a deficient number, since it is larger than the sum of its proper divisors (2339116478097).

3646635667311 is a wasteful number, since it uses less digits than its factorization.

3646635667311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414111.

The product of its digits is 29393280, while the sum is 57.

The spelling of 3646635667311 in words is "three trillion, six hundred forty-six billion, six hundred thirty-five million, six hundred sixty-seven thousand, three hundred eleven".