34632023643 has 48 divisors (see below), whose sum is σ = 60609642496. Its totient is φ = 18633706560.

The previous prime is 34632023627. The next prime is 34632023681.

34632023643 is a `hidden beast` number, since 3 + 4 + 6 + 3 + 2 + 0 + 2 + 3 + 643 = 666.

34632023643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34632023643 - 2⁴ = 34632023627 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34632023598 and 34632023607.

It is not an unprimeable number, because it can be changed into a prime (34632033643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167371 + ... + 311892.

Almost surely, 2^34632023643 is an apocalyptic number.

34632023643 is a deficient number, since it is larger than the sum of its proper divisors (25977618853).

34632023643 is a wasteful number, since it uses less digits than its factorization.

34632023643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479344 (or 479341 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, 346320 and 23643, that added together give a palindrome (369963).

The spelling of 34632023643 in words is "thirty-four billion, six hundred thirty-two million, twenty-three thousand, six hundred forty-three".