34616461643 has 8 divisors (see below), whose sum is σ = 35784118656. Its totient is φ = 33451992000.

The previous prime is 34616461609. The next prime is 34616461657.

34616461643 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 34616461643 - 2²⁰ = 34615413067 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34616461594 and 34616461603.

It is not an unprimeable number, because it can be changed into a prime (34616461043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 774746 + ... + 818207.

It is an arithmetic number, because the mean of its divisors is an integer number (4473014832).

Almost surely, 2^34616461643 is an apocalyptic number.

34616461643 is a deficient number, since it is larger than the sum of its proper divisors (1167657013).

34616461643 is a wasteful number, since it uses less digits than its factorization.

34616461643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593685.

The product of its digits is 746496, while the sum is 44.

The spelling of 34616461643 in words is "thirty-four billion, six hundred sixteen million, four hundred sixty-one thousand, six hundred forty-three".