3446128216401 has 16 divisors (see below), whose sum is σ = 4948640928000. Its totient is φ = 2120542462080.

The previous prime is 3446128216379. The next prime is 3446128216441. The reversal of 3446128216401 is 1046128216443.

3446128216401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3446128216401 - 2⁷ = 3446128216273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3446128216441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2610060 + ... + 3701981.

It is an arithmetic number, because the mean of its divisors is an integer number (309290058000).

Almost surely, 2^{3446128216401} is an apocalyptic number.

It is an amenable number.

3446128216401 is a deficient number, since it is larger than the sum of its proper divisors (1502512711599).

3446128216401 is a wasteful number, since it uses less digits than its factorization.

3446128216401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6326056.

The product of its (nonzero) digits is 221184, while the sum is 42.

Adding to 3446128216401 its sum of digits (42), we get a palindrome (3446128216443).

The spelling of 3446128216401 in words is "three trillion, four hundred forty-six billion, one hundred twenty-eight million, two hundred sixteen thousand, four hundred one".