3486624828349 has 16 divisors (see below), whose sum is σ = 3757840732800. Its totient is φ = 3215840354496.

The previous prime is 3486624828289. The next prime is 3486624828361. The reversal of 3486624828349 is 9438284266843.

It is a cyclic number.

It is not a de Polignac number, because 3486624828349 - 2⁷ = 3486624828221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3486624858349) 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, 121712622 + ... + 121741264.

It is an arithmetic number, because the mean of its divisors is an integer number (234865045800).

Almost surely, 2^{3486624828349} is an apocalyptic number.

It is an amenable number.

3486624828349 is a deficient number, since it is larger than the sum of its proper divisors (271215904451).

3486624828349 is a wasteful number, since it uses less digits than its factorization.

3486624828349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35844.

The product of its digits is 382205952, while the sum is 67.

The spelling of 3486624828349 in words is "three trillion, four hundred eighty-six billion, six hundred twenty-four million, eight hundred twenty-eight thousand, three hundred forty-nine".