34642224643 has 16 divisors (see below), whose sum is σ = 37910296480. Its totient is φ = 31461509376.

The previous prime is 34642224637. The next prime is 34642224649.

34642224643 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (34642224637) and next prime (34642224649).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34642224643 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34642224596 and 34642224605.

It is not an unprimeable number, because it can be changed into a prime (34642224649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 698071 + ... + 746047.

It is an arithmetic number, because the mean of its divisors is an integer number (2369393530).

Almost surely, 2^34642224643 is an apocalyptic number.

34642224643 is a deficient number, since it is larger than the sum of its proper divisors (3268071837).

34642224643 is a wasteful number, since it uses less digits than its factorization.

34642224643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48886.

The product of its digits is 663552, while the sum is 40.

The spelling of 34642224643 in words is "thirty-four billion, six hundred forty-two million, two hundred twenty-four thousand, six hundred forty-three".