34706225657601 has 27 divisors (see below), whose sum is σ = 50206201961097. Its totient is φ = 23102925998400.

The previous prime is 34706225657591. The next prime is 34706225657611. The reversal of 34706225657601 is 10675652260743.

The square root of 34706225657601 is 5891199.

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

34706225657601 is a `hidden beast` number, since 3 + 4 + 7 + 0 + 6 + 2 + 2 + 565 + 76 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (34706225657591) and next prime (34706225657611).

It can be written as a sum of positive squares in 4 ways, for example, as 388608858225 + 34317616799376 = 623385^2 + 5858124^2 .

It is not a de Polignac number, because 34706225657601 - 2²³ = 34706217268993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34706225657611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18256824751 + ... + 18256826651.

Almost surely, 2^{34706225657601} is an apocalyptic number.

34706225657601 is the 5891199-th square number.

34706225657601 is the 2945600-th centered octagonal number.

It is an amenable number.

34706225657601 is a deficient number, since it is larger than the sum of its proper divisors (15499976303496).

34706225657601 is an frugal number, since it uses more digits than its factorization.

34706225657601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5874 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 34706225657601 in words is "thirty-four trillion, seven hundred six billion, two hundred twenty-five million, six hundred fifty-seven thousand, six hundred one".