34519038849 has 27 divisors (see below), whose sum is σ = 52980896163. Its totient is φ = 21653059392.

The previous prime is 34519038793. The next prime is 34519038877. The reversal of 34519038849 is 94883091543.

The square root of 34519038849 is 185793.

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

34519038849 is a `hidden beast` number, since 3 + 4 + 519 + 0 + 3 + 88 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26874684225 + 7644354624 = 163935^2 + 87432^2 .

It is not a de Polignac number, because 34519038849 - 2¹⁹ = 34518514561 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 34519038795 and 34519038804.

It is not an unprimeable number, because it can be changed into a prime (34519038049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9473622 + ... + 9477264.

Almost surely, 2^34519038849 is an apocalyptic number.

34519038849 is the 185793-rd square number.

34519038849 is the 92897-th centered octagonal number.

It is an amenable number.

34519038849 is a deficient number, since it is larger than the sum of its proper divisors (18461857314).

34519038849 is an frugal number, since it uses more digits than its factorization.

34519038849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7326 (or 3663 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 34519038849 in words is "thirty-four billion, five hundred nineteen million, thirty-eight thousand, eight hundred forty-nine".