34874442009 has 27 divisors (see below), whose sum is σ = 55379767989. Its totient is φ = 21132290520.

The previous prime is 34874441999. The next prime is 34874442103. The reversal of 34874442009 is 90024447843.

The square root of 34874442009 is 186747.

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

It is not a de Polignac number, because 34874442009 - 2⁵ = 34874441977 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34874441009) 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, 6159822 + ... + 6165480.

Almost surely, 2^34874442009 is an apocalyptic number.

34874442009 is the 186747-th square number.

34874442009 is the 93374-th centered octagonal number.

It is an amenable number.

34874442009 is a deficient number, since it is larger than the sum of its proper divisors (20505325980).

34874442009 is an frugal number, since it uses more digits than its factorization.

34874442009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11346 (or 5673 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 34874442009 in words is "thirty-four billion, eight hundred seventy-four million, four hundred forty-two thousand, nine".