34646326248769 has 9 divisors (see below), whose sum is σ = 35141599470369. Its totient is φ = 34157937794820.

The previous prime is 34646326248763. The next prime is 34646326248817. The reversal of 34646326248769 is 96784262364643.

The square root of 34646326248769 is 5886113.

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

It is not a de Polignac number, because 34646326248769 - 2¹³ = 34646326240577 is a prime.

It is a super-2 number, since 2×34646326248769² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34646326248698 and 34646326248707.

It is not an unprimeable number, because it can be changed into a prime (34646326248763) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 417872572 + ... + 417955474.

Almost surely, 2^{34646326248769} is an apocalyptic number.

34646326248769 is the 5886113-rd square number.

34646326248769 is the 2943057-th centered octagonal number.

It is an amenable number.

34646326248769 is a deficient number, since it is larger than the sum of its proper divisors (495273221600).

34646326248769 is an frugal number, since it uses more digits than its factorization.

34646326248769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165948 (or 82974 counting only the distinct ones).

The product of its digits is 1504935936, while the sum is 70.

The spelling of 34646326248769 in words is "thirty-four trillion, six hundred forty-six billion, three hundred twenty-six million, two hundred forty-eight thousand, seven hundred sixty-nine".