34793813961 has 27 divisors (see below), whose sum is σ = 50860539093. Its totient is φ = 22920929280.

The previous prime is 34793813939. The next prime is 34793814017. The reversal of 34793813961 is 16931839743.

It is a happy number.

The square root of 34793813961 is 186531.

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

34793813961 is a `hidden beast` number, since 3 + 479 + 3 + 81 + 3 + 96 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5708558025 + 29085255936 = 75555^2 + 170544^2 .

It is a de Polignac number, because none of the positive numbers 2^k-34793813961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34793813898 and 34793813907.

It is not an unprimeable number, because it can be changed into a prime (34793813161) 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, 54280201 + ... + 54280841.

Almost surely, 2^34793813961 is an apocalyptic number.

34793813961 is the 186531-st square number.

34793813961 is the 93266-th centered octagonal number.

It is an amenable number.

34793813961 is a deficient number, since it is larger than the sum of its proper divisors (16066725132).

34793813961 is an frugal number, since it uses more digits than its factorization.

34793813961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 741 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The spelling of 34793813961 in words is "thirty-four billion, seven hundred ninety-three million, eight hundred thirteen thousand, nine hundred sixty-one".