34624042643 has 8 divisors (see below), whose sum is σ = 35152593840. Its totient is φ = 34098592000.

The previous prime is 34624042591. The next prime is 34624042709.

34624042643 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 34624042643 - 2³⁴ = 17444173459 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34624042597 and 34624042606.

It is not an unprimeable number, because it can be changed into a prime (34624048643) 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 7 ways as a sum of consecutive naturals, for example, 752630 + ... + 797307.

It is an arithmetic number, because the mean of its divisors is an integer number (4394074230).

Almost surely, 2^34624042643 is an apocalyptic number.

34624042643 is a deficient number, since it is larger than the sum of its proper divisors (528551197).

34624042643 is a wasteful number, since it uses less digits than its factorization.

34624042643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550277.

The product of its (nonzero) digits is 331776, while the sum is 38.

It can be divided in two parts, 346240 and 42643, that added together give a palindrome (388883).

The spelling of 34624042643 in words is "thirty-four billion, six hundred twenty-four million, forty-two thousand, six hundred forty-three".