3667375648401 has 16 divisors (see below), whose sum is σ = 5047708200960. Its totient is φ = 2365984391760.

The previous prime is 3667375648399. The next prime is 3667375648439. The reversal of 3667375648401 is 1048465737663.

It is not a de Polignac number, because 3667375648401 - 2¹ = 3667375648399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3667375646401) 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 15 ways as a sum of consecutive naturals, for example, 3023980 + ... + 4059458.

It is an arithmetic number, because the mean of its divisors is an integer number (315481762560).

Almost surely, 2^{3667375648401} is an apocalyptic number.

3667375648401 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3667375648401 is a deficient number, since it is larger than the sum of its proper divisors (1380332552559).

3667375648401 is a wasteful number, since it uses less digits than its factorization.

3667375648401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073596.

The product of its (nonzero) digits is 60963840, while the sum is 60.

The spelling of 3667375648401 in words is "three trillion, six hundred sixty-seven billion, three hundred seventy-five million, six hundred forty-eight thousand, four hundred one".