34939460241 has 189 divisors, whose sum is σ = 65218493529. Its totient is φ = 18653220432.

The previous prime is 34939460209. The next prime is 34939460267. The reversal of 34939460241 is 14206493943.

The square root of 34939460241 is 186921.

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

34939460241 is a `hidden beast` number, since 3 + 4 + 9 + 39 + 4 + 602 + 4 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 34939460241 - 2⁵ = 34939460209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34939460741) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 812545566 + ... + 812545608.

Almost surely, 2^34939460241 is an apocalyptic number.

34939460241 is the 186921-st square number.

34939460241 is the 93461-st centered octagonal number.

It is an amenable number.

34939460241 is a deficient number, since it is larger than the sum of its proper divisors (30279033288).

34939460241 is an frugal number, since it uses more digits than its factorization.

34939460241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 34939460241 in words is "thirty-four billion, nine hundred thirty-nine million, four hundred sixty thousand, two hundred forty-one".