34354201221 has 20 divisors (see below), whose sum is σ = 51383725932. Its totient is φ = 22874021568.

The previous prime is 34354201213. The next prime is 34354201249. The reversal of 34354201221 is 12210245343.

34354201221 is a `hidden beast` number, since 3 + 435 + 4 + 2 + 0 + 1 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10796249025 + 23557952196 = 103905^2 + 153486^2 .

It is not a de Polignac number, because 34354201221 - 2³ = 34354201213 is a prime.

It is a super-2 number, since 2×34354201221² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34354201121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 201520 + ... + 330633.

Almost surely, 2^34354201221 is an apocalyptic number.

It is an amenable number.

34354201221 is a deficient number, since it is larger than the sum of its proper divisors (17029524711).

34354201221 is an equidigital number, since it uses as much as digits as its factorization.

34354201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532962 (or 532953 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 34354201221 its reverse (12210245343), we get a palindrome (46564446564).

The spelling of 34354201221 in words is "thirty-four billion, three hundred fifty-four million, two hundred one thousand, two hundred twenty-one".