34856826337089 has 27 divisors (see below), whose sum is σ = 50436731879937. Its totient is φ = 23197347587304.

The previous prime is 34856826337057. The next prime is 34856826337103. The reversal of 34856826337089 is 98073362865843.

The square root of 34856826337089 is 5903967.

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

34856826337089 is a `hidden beast` number, since 3 + 4 + 8 + 568 + 26 + 3 + 37 + 0 + 8 + 9 = 666.

It is not a de Polignac number, because 34856826337089 - 2⁵ = 34856826337057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34856826537089) 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, 12876550674 + ... + 12876553380.

Almost surely, 2^{34856826337089} is an apocalyptic number.

34856826337089 is the 5903967-th square number.

34856826337089 is the 2951984-th centered octagonal number.

It is an amenable number.

34856826337089 is a deficient number, since it is larger than the sum of its proper divisors (15579905542848).

34856826337089 is an frugal number, since it uses more digits than its factorization.

34856826337089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6874 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 34856826337089 in words is "thirty-four trillion, eight hundred fifty-six billion, eight hundred twenty-six million, three hundred thirty-seven thousand, eighty-nine".