34467384617449 has 27 divisors (see below), whose sum is σ = 40227235882743. Its totient is φ = 29446144865088.

The previous prime is 34467384617443. The next prime is 34467384617513. The reversal of 34467384617449 is 94471648376443.

The square root of 34467384617449 is 5870893.

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

It can be written as a sum of positive squares in only one way, i.e., 33560760717225 + 906623900224 = 5793165^2 + 952168^2 .

It is not a de Polignac number, because 34467384617449 - 2³ = 34467384617441 is a prime.

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (34467384617441) 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, 14260397889 + ... + 14260400305.

Almost surely, 2^{34467384617449} is an apocalyptic number.

34467384617449 is the 5870893-rd square number.

34467384617449 is the 2935447-th centered octagonal number.

It is an amenable number.

34467384617449 is a deficient number, since it is larger than the sum of its proper divisors (5759851265294).

34467384617449 is an frugal number, since it uses more digits than its factorization.

34467384617449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5542 (or 2771 counting only the distinct ones).

The product of its digits is 1170505728, while the sum is 70.

The spelling of 34467384617449 in words is "thirty-four trillion, four hundred sixty-seven billion, three hundred eighty-four million, six hundred seventeen thousand, four hundred forty-nine".