343949776249689 has 27 divisors (see below), whose sum is σ = 505384505105493. Its totient is φ = 225411261360984.

The previous prime is 343949776249633. The next prime is 343949776249721. The reversal of 343949776249689 is 986942677949343.

The square root of 343949776249689 is 18545883.

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

343949776249689 is a `hidden beast` number, since 3 + 4 + 3 + 9 + 49 + 7 + 76 + 2 + 496 + 8 + 9 = 666.

It is not a de Polignac number, because 343949776249689 - 2²⁵ = 343949742695257 is a prime.

It is a super-2 number, since 2×343949776249689² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (90) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 343949776249599 and 343949776249608.

It is not an unprimeable number, because it can be changed into a prime (343949776449689) 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, 3282568902 + ... + 3282673680.

Almost surely, 2^{343949776249689} is an apocalyptic number.

343949776249689 is the 18545883-rd square number.

343949776249689 is the 9272942-nd centered octagonal number.

It is an amenable number.

343949776249689 is a deficient number, since it is larger than the sum of its proper divisors (161434728855804).

343949776249689 is an frugal number, since it uses more digits than its factorization.

343949776249689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209682 (or 104841 counting only the distinct ones).

The product of its digits is 106662334464, while the sum is 90.

The spelling of 343949776249689 in words is "three hundred forty-three trillion, nine hundred forty-nine billion, seven hundred seventy-six million, two hundred forty-nine thousand, six hundred eighty-nine".