34407832540761 has 27 divisors (see below), whose sum is σ = 49796598155421. Its totient is φ = 22894150777344.

The previous prime is 34407832540751. The next prime is 34407832540849. The reversal of 34407832540761 is 16704523870443.

The square root of 34407832540761 is 5865819.

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

34407832540761 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 7 + 8 + 32 + 540 + 7 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2250495027225 + 32157337513536 = 1500165^2 + 5670744^2 .

It is not a de Polignac number, because 34407832540761 - 2¹⁷ = 34407832409689 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34407832540698 and 34407832540707.

It is not an unprimeable number, because it can be changed into a prime (34407832540751) 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, 10857629385 + ... + 10857632553.

Almost surely, 2^{34407832540761} is an apocalyptic number.

34407832540761 is the 5865819-th square number.

34407832540761 is the 2932910-th centered octagonal number.

It is an amenable number.

34407832540761 is a deficient number, since it is larger than the sum of its proper divisors (15388765614660).

34407832540761 is an frugal number, since it uses more digits than its factorization.

34407832540761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7578 (or 3789 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 34407832540761 in words is "thirty-four trillion, four hundred seven billion, eight hundred thirty-two million, five hundred forty thousand, seven hundred sixty-one".