34629892643 has 16 divisors (see below), whose sum is σ = 35403370080. Its totient is φ = 33865122816.

The previous prime is 34629892631. The next prime is 34629892673.

It is a happy number.

34629892643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34629892643 - 2¹⁰ = 34629891619 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34629892673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11289596 + ... + 11292662.

It is an arithmetic number, because the mean of its divisors is an integer number (2212710630).

Almost surely, 2^34629892643 is an apocalyptic number.

34629892643 is a deficient number, since it is larger than the sum of its proper divisors (773477437).

34629892643 is a wasteful number, since it uses less digits than its factorization.

34629892643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4406.

The product of its digits is 13436928, while the sum is 56.

The spelling of 34629892643 in words is "thirty-four billion, six hundred twenty-nine million, eight hundred ninety-two thousand, six hundred forty-three".