34537730288161 has 3 divisors (see below), whose sum is σ = 34537736165043. Its totient is φ = 34537724411280.

The previous prime is 34537730288119. The next prime is 34537730288167. The reversal of 34537730288161 is 16188203773543.

The square root of 34537730288161 is 5876881.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 30878926448161 + 3658803840000 = 5556881^2 + 1912800^2 .

It is not a de Polignac number, because 34537730288161 - 2¹⁵ = 34537730255393 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34537730288096 and 34537730288105.

It is not an unprimeable number, because it can be changed into a prime (34537730288167) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2938441 + ... + 8815321.

It is an arithmetic number, because the mean of its divisors is an integer number (11512578721681).

Almost surely, 2^{34537730288161} is an apocalyptic number.

34537730288161 is the 5876881-st square number.

34537730288161 is the 2938441-st centered octagonal number.

It is an amenable number.

34537730288161 is a deficient number, since it is larger than the sum of its proper divisors (5876882).

34537730288161 is an frugal number, since it uses more digits than its factorization.

34537730288161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11753762 (or 5876881 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 58.

The spelling of 34537730288161 in words is "thirty-four trillion, five hundred thirty-seven billion, seven hundred thirty million, two hundred eighty-eight thousand, one hundred sixty-one".