34756517761 has 9 divisors (see below), whose sum is σ = 40432569411. Its totient is φ = 29790182352.

The previous prime is 34756517753. The next prime is 34756517779. The reversal of 34756517761 is 16771565743.

The square root of 34756517761 is 186431.

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., 34423236225 + 333281536 = 185535^2 + 18256^2 .

It is not a de Polignac number, because 34756517761 - 2³ = 34756517753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34756517699 and 34756517708.

It is not an unprimeable number, because it can be changed into a prime (34756517701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1291701 + ... + 1318333.

Almost surely, 2^34756517761 is an apocalyptic number.

34756517761 is the 186431-st square number.

34756517761 is the 93216-th centered octagonal number.

It is an amenable number.

34756517761 is a deficient number, since it is larger than the sum of its proper divisors (5676051650).

34756517761 is an frugal number, since it uses more digits than its factorization.

34756517761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53280 (or 26640 counting only the distinct ones).

The product of its digits is 3704400, while the sum is 52.

The spelling of 34756517761 in words is "thirty-four billion, seven hundred fifty-six million, five hundred seventeen thousand, seven hundred sixty-one".