3428406048243 has 48 divisors (see below), whose sum is σ = 5059084187808. Its totient is φ = 2063554521600.

The previous prime is 3428406048211. The next prime is 3428406048257.

3428406048243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3428406048243 - 2⁵ = 3428406048211 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3428406048192 and 3428406048201.

It is not an unprimeable number, because it can be changed into a prime (3428406048143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122687653 + ... + 122715593.

It is an arithmetic number, because the mean of its divisors is an integer number (105397587246).

Almost surely, 2^{3428406048243} is an apocalyptic number.

3428406048243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3428406048243 is a deficient number, since it is larger than the sum of its proper divisors (1630678139565).

3428406048243 is a wasteful number, since it uses less digits than its factorization.

3428406048243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30276 (or 30265 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 48.

The spelling of 3428406048243 in words is "three trillion, four hundred twenty-eight billion, four hundred six million, forty-eight thousand, two hundred forty-three".