3468264674401 has 32 divisors (see below), whose sum is σ = 3612104810496. Its totient is φ = 3328282440000.

The previous prime is 3468264674393. The next prime is 3468264674449. The reversal of 3468264674401 is 1044764628643.

It is a cyclic number.

It is not a de Polignac number, because 3468264674401 - 2³ = 3468264674393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3468264674471) 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 31 ways as a sum of consecutive naturals, for example, 1048762990 + ... + 1048766296.

It is an arithmetic number, because the mean of its divisors is an integer number (112878275328).

Almost surely, 2^{3468264674401} is an apocalyptic number.

It is an amenable number.

3468264674401 is a deficient number, since it is larger than the sum of its proper divisors (143840136095).

3468264674401 is a wasteful number, since it uses less digits than its factorization.

3468264674401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5893.

The product of its (nonzero) digits is 18579456, while the sum is 55.

The spelling of 3468264674401 in words is "three trillion, four hundred sixty-eight billion, two hundred sixty-four million, six hundred seventy-four thousand, four hundred one".