3406733400667 has 8 divisors (see below), whose sum is σ = 3422201032640. Its totient is φ = 3391300725120.

The previous prime is 3406733400611. The next prime is 3406733400709. The reversal of 3406733400667 is 7660043376043.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3406733400667 - 2³⁹ = 2856977586779 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3406733400667.

It is not an unprimeable number, because it can be changed into a prime (3406733400467) 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 7 ways as a sum of consecutive naturals, for example, 8543742 + ... + 8933587.

It is an arithmetic number, because the mean of its divisors is an integer number (427775129080).

Almost surely, 2^{3406733400667} is an apocalyptic number.

3406733400667 is a deficient number, since it is larger than the sum of its proper divisors (15467631973).

3406733400667 is a wasteful number, since it uses less digits than its factorization.

3406733400667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17478213.

The product of its (nonzero) digits is 4572288, while the sum is 49.

The spelling of 3406733400667 in words is "three trillion, four hundred six billion, seven hundred thirty-three million, four hundred thousand, six hundred sixty-seven".