34739672157369 has 45 divisors (see below), whose sum is σ = 53195000979549. Its totient is φ = 22593494151360.

The previous prime is 34739672157367. The next prime is 34739672157401. The reversal of 34739672157369 is 96375127693743.

The square root of 34739672157369 is 5894037.

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

34739672157369 is a `hidden beast` number, since 3 + 47 + 3 + 9 + 6 + 7 + 2 + 1 + 573 + 6 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3173118755625 + 31566553401744 = 1781325^2 + 5618412^2 .

It is not a de Polignac number, because 34739672157369 - 2¹ = 34739672157367 is a prime.

It is a super-2 number, since 2×34739672157369² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34739672157297 and 34739672157306.

It is not an unprimeable number, because it can be changed into a prime (34739672157361) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2174891667 + ... + 2174907639.

Almost surely, 2^{34739672157369} is an apocalyptic number.

34739672157369 is the 5894037-th square number.

34739672157369 is the 2947019-th centered octagonal number.

It is an amenable number.

34739672157369 is a deficient number, since it is larger than the sum of its proper divisors (18455328822180).

34739672157369 is an frugal number, since it uses more digits than its factorization.

34739672157369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32040 (or 16017 counting only the distinct ones).

The product of its digits is 1080203040, while the sum is 72.

The spelling of 34739672157369 in words is "thirty-four trillion, seven hundred thirty-nine billion, six hundred seventy-two million, one hundred fifty-seven thousand, three hundred sixty-nine".