34355516221 has 8 divisors (see below), whose sum is σ = 37325667960. Its totient is φ = 31432138752.

The previous prime is 34355516171. The next prime is 34355516249. The reversal of 34355516221 is 12261555343.

It can be written as a sum of positive squares in 4 ways, for example, as 5157250596 + 29198265625 = 71814^2 + 170875^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34355516221 - 2⁹ = 34355515709 is a prime.

It is a super-2 number, since 2×34355516221² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34355516021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11692036 + ... + 11694973.

It is an arithmetic number, because the mean of its divisors is an integer number (4665708495).

Almost surely, 2^34355516221 is an apocalyptic number.

It is an amenable number.

34355516221 is a deficient number, since it is larger than the sum of its proper divisors (2970151739).

34355516221 is a wasteful number, since it uses less digits than its factorization.

34355516221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23387135.

The product of its digits is 108000, while the sum is 37.

The spelling of 34355516221 in words is "thirty-four billion, three hundred fifty-five million, five hundred sixteen thousand, two hundred twenty-one".