34240911849 has 9 divisors (see below), whose sum is σ = 49459896759. Its totient is φ = 22826904480.

The previous prime is 34240911839. The next prime is 34240911853. The reversal of 34240911849 is 94811904243.

The square root of 34240911849 is 185043.

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

34240911849 is a `hidden beast` number, since 342 + 40 + 91 + 184 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26713614249 + 7527297600 = 163443^2 + 86760^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 34240911849 - 2¹³ = 34240903657 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34240911839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 524289 + ... + 585969.

Almost surely, 2^34240911849 is an apocalyptic number.

34240911849 is the 185043-rd square number.

34240911849 is the 92522-nd centered octagonal number.

It is an amenable number.

34240911849 is a deficient number, since it is larger than the sum of its proper divisors (15218984910).

34240911849 is an frugal number, since it uses more digits than its factorization.

34240911849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123368 (or 61684 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 34240911849 in words is "thirty-four billion, two hundred forty million, nine hundred eleven thousand, eight hundred forty-nine".