34745688633601 has 16 divisors (see below), whose sum is σ = 38932091153280. Its totient is φ = 30730713050880.

The previous prime is 34745688633589. The next prime is 34745688633659. The reversal of 34745688633601 is 10633688654743.

It is a cyclic number.

It is not a de Polignac number, because 34745688633601 - 2¹⁷ = 34745688502529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34745686633601) 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, 1298025 + ... + 8436601.

It is an arithmetic number, because the mean of its divisors is an integer number (2433255697080).

Almost surely, 2^{34745688633601} is an apocalyptic number.

It is an amenable number.

34745688633601 is a deficient number, since it is larger than the sum of its proper divisors (4186402519679).

34745688633601 is a wasteful number, since it uses less digits than its factorization.

34745688633601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7150584.

The product of its (nonzero) digits is 209018880, while the sum is 64.

The spelling of 34745688633601 in words is "thirty-four trillion, seven hundred forty-five billion, six hundred eighty-eight million, six hundred thirty-three thousand, six hundred one".