34536789993601 has 27 divisors (see below), whose sum is σ = 40847828406723. Its totient is φ = 29115552730320.

The previous prime is 34536789993577. The next prime is 34536789993613. The reversal of 34536789993601 is 10639998763543.

The square root of 34536789993601 is 5876801.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1123072182001 + 33413717811600 = 1059751^2 + 5780460^2 .

It is not a de Polignac number, because 34536789993601 - 2⁹ = 34536789993089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34536789993631) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2509387146 + ... + 2509400908.

Almost surely, 2^{34536789993601} is an apocalyptic number.

34536789993601 is the 5876801-st square number.

34536789993601 is the 2938401-st centered octagonal number.

It is an amenable number.

34536789993601 is a deficient number, since it is larger than the sum of its proper divisors (6311038413122).

34536789993601 is an frugal number, since it uses more digits than its factorization.

34536789993601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27662 (or 13831 counting only the distinct ones).

The product of its (nonzero) digits is 793618560, while the sum is 73.

The spelling of 34536789993601 in words is "thirty-four trillion, five hundred thirty-six billion, seven hundred eighty-nine million, nine hundred ninety-three thousand, six hundred one".