3456638366543 has 8 divisors (see below), whose sum is σ = 3490921289856. Its totient is φ = 3422356596000.

The previous prime is 3456638366527. The next prime is 3456638366633.

It is a happy number.

3456638366543 is nontrivially palindromic in base 10.

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 3456638366543 - 2⁴ = 3456638366527 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 (3456638366143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6535805 + ... + 7044857.

It is an arithmetic number, because the mean of its divisors is an integer number (436365161232).

Almost surely, 2^{3456638366543} is an apocalyptic number.

3456638366543 is a deficient number, since it is larger than the sum of its proper divisors (34282923313).

3456638366543 is a wasteful number, since it uses less digits than its factorization.

3456638366543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576385.

The product of its digits is 335923200, while the sum is 62.

The spelling of 3456638366543 in words is "three trillion, four hundred fifty-six billion, six hundred thirty-eight million, three hundred sixty-six thousand, five hundred forty-three".