34398749961 has 27 divisors (see below), whose sum is σ = 50094652647. Its totient is φ = 22745918160.

The previous prime is 34398749953. The next prime is 34398749971. The reversal of 34398749961 is 16994789343.

The square root of 34398749961 is 185469.

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

34398749961 is a `hidden beast` number, since 3 + 4 + 3 + 9 + 87 + 499 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32545964025 + 1852785936 = 180405^2 + 43044^2 .

It is not a de Polignac number, because 34398749961 - 2³ = 34398749953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34398749911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 117401731 + ... + 117402023.

Almost surely, 2^34398749961 is an apocalyptic number.

34398749961 is the 185469-th square number.

34398749961 is the 92735-th centered octagonal number.

It is an amenable number.

34398749961 is a deficient number, since it is larger than the sum of its proper divisors (15695902686).

34398749961 is an frugal number, since it uses more digits than its factorization.

34398749961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 507 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 34398749961 in words is "thirty-four billion, three hundred ninety-eight million, seven hundred forty-nine thousand, nine hundred sixty-one".