34190817661 has 144 divisors (see below), whose sum is σ = 50978282880. Its totient is φ = 22632825600.

The previous prime is 34190817613. The next prime is 34190817671. The reversal of 34190817661 is 16671809143.

It is not a de Polignac number, because 34190817661 - 2¹¹ = 34190815613 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34190817671) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 54184816 + ... + 54185446.

Almost surely, 2^34190817661 is an apocalyptic number.

It is an amenable number.

34190817661 is a deficient number, since it is larger than the sum of its proper divisors (16787465219).

34190817661 is a wasteful number, since it uses less digits than its factorization.

34190817661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 34190817661 in words is "thirty-four billion, one hundred ninety million, eight hundred seventeen thousand, six hundred sixty-one".