34401779281809 has 27 divisors (see below), whose sum is σ = 49811228525617. Its totient is φ = 22879373942400.

The previous prime is 34401779281789. The next prime is 34401779281811. The reversal of 34401779281809 is 90818297710443.

The square root of 34401779281809 is 5865303.

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

34401779281809 is a `hidden beast` number, since 3 + 4 + 401 + 7 + 79 + 2 + 81 + 80 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7305381905409 + 27096397376400 = 2702847^2 + 5205420^2 .

It is not a de Polignac number, because 34401779281809 - 2¹⁷ = 34401779150737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34401779281109) 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, 8111711929 + ... + 8111716169.

Almost surely, 2^{34401779281809} is an apocalyptic number.

34401779281809 is the 5865303-rd square number.

34401779281809 is the 2932652-nd centered octagonal number.

It is an amenable number.

34401779281809 is a deficient number, since it is larger than the sum of its proper divisors (15409449243808).

34401779281809 is an frugal number, since it uses more digits than its factorization.

34401779281809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9410 (or 4705 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 34401779281809 in words is "thirty-four trillion, four hundred one billion, seven hundred seventy-nine million, two hundred eighty-one thousand, eight hundred nine".