3408538358043 has 192 divisors, whose sum is σ = 6484101120000. Its totient is φ = 1753454158848.

The previous prime is 3408538358041. The next prime is 3408538358047.

It is a happy number.

3408538358043 is a `hidden beast` number, since 3 + 4 + 0 + 8 + 53 + 8 + 3 + 580 + 4 + 3 = 666.

3408538358043 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3408538358043 - 2¹ = 3408538358041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3408538358041) 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 191 ways as a sum of consecutive naturals, for example, 128858883 + ... + 128885331.

It is an arithmetic number, because the mean of its divisors is an integer number (33771360000).

Almost surely, 2^{3408538358043} is an apocalyptic number.

3408538358043 is a deficient number, since it is larger than the sum of its proper divisors (3075562761957).

3408538358043 is a wasteful number, since it uses less digits than its factorization.

3408538358043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26671 (or 26658 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 3408538358043 in words is "three trillion, four hundred eight billion, five hundred thirty-eight million, three hundred fifty-eight thousand, forty-three".