34926409760449 has 9 divisors (see below), whose sum is σ = 34957647620073. Its totient is φ = 34895199805632.

The previous prime is 34926409760443. The next prime is 34926409760467. The reversal of 34926409760449 is 94406790462943.

The square root of 34926409760449 is 5909857.

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

It can be written as a sum of positive squares in 4 ways, for example, as 403358361025 + 34523051399424 = 635105^2 + 5875632^2 .

It is not a de Polignac number, because 34926409760449 - 2³ = 34926409760441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34926409760441) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9508958077 + ... + 9508961749.

It is an arithmetic number, because the mean of its divisors is an integer number (3884183068897).

Almost surely, 2^{34926409760449} is an apocalyptic number.

34926409760449 is the 5909857-th square number.

34926409760449 is the 2954929-th centered octagonal number.

It is an amenable number.

34926409760449 is a deficient number, since it is larger than the sum of its proper divisors (31237859624).

34926409760449 is an frugal number, since it uses more digits than its factorization.

34926409760449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10564 (or 5282 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 67.

The spelling of 34926409760449 in words is "thirty-four trillion, nine hundred twenty-six billion, four hundred nine million, seven hundred sixty thousand, four hundred forty-nine".