34623032643 has 72 divisors (see below), whose sum is σ = 55596445632. Its totient is φ = 20681505792.

The previous prime is 34623032623. The next prime is 34623032659.

34623032643 is a `hidden beast` number, since 3 + 4 + 6 + 2 + 3 + 0 + 3 + 2 + 643 = 666.

34623032643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34623032643 - 2⁶ = 34623032579 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34623032598 and 34623032607.

It is not an unprimeable number, because it can be changed into a prime (34623032623) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9842721 + ... + 9846237.

It is an arithmetic number, because the mean of its divisors is an integer number (772172856).

Almost surely, 2^34623032643 is an apocalyptic number.

34623032643 is a deficient number, since it is larger than the sum of its proper divisors (20973412989).

34623032643 is a wasteful number, since it uses less digits than its factorization.

34623032643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

It can be divided in two parts, 346230 and 32643, that added together give a palindrome (378873).

The spelling of 34623032643 in words is "thirty-four billion, six hundred twenty-three million, thirty-two thousand, six hundred forty-three".