34107071761 has 15 divisors (see below), whose sum is σ = 39799775931. Its totient is φ = 29226876336.

The previous prime is 34107071743. The next prime is 34107071777. The reversal of 34107071761 is 16717070143.

The square root of 34107071761 is 184681.

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., 28263998161 + 5843073600 = 168119^2 + 76440^2 .

It is not a de Polignac number, because 34107071761 - 2⁷ = 34107071633 is a prime.

It is a super-2 number, since 2×34107071761² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34107071761.

It is not an unprimeable number, because it can be changed into a prime (34107071711) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9047485 + ... + 9051253.

Almost surely, 2^34107071761 is an apocalyptic number.

34107071761 is the 184681-st square number.

34107071761 is the 92341-st centered octagonal number.

It is an amenable number.

34107071761 is a deficient number, since it is larger than the sum of its proper divisors (5692704170).

34107071761 is an frugal number, since it uses more digits than its factorization.

34107071761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7566 (or 3776 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 37.

The spelling of 34107071761 in words is "thirty-four billion, one hundred seven million, seventy-one thousand, seven hundred sixty-one".