3457642467543 has 24 divisors (see below), whose sum is σ = 5067564814704. Its totient is φ = 2095472269440.

The previous prime is 3457642467533. The next prime is 3457642467547.

3457642467543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3457642467543 - 2⁴ = 3457642467527 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3457642467547) 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 23 ways as a sum of consecutive naturals, for example, 12316821 + ... + 12594417.

It is an arithmetic number, because the mean of its divisors is an integer number (211148533946).

Almost surely, 2^{3457642467543} is an apocalyptic number.

3457642467543 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3457642467543 is a deficient number, since it is larger than the sum of its proper divisors (1609922347161).

3457642467543 is a wasteful number, since it uses less digits than its factorization.

3457642467543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311935 (or 311924 counting only the distinct ones).

The product of its digits is 203212800, while the sum is 60.

The spelling of 3457642467543 in words is "three trillion, four hundred fifty-seven billion, six hundred forty-two million, four hundred sixty-seven thousand, five hundred forty-three".