34206718442221 has 8 divisors (see below), whose sum is σ = 38108280493080. Its totient is φ = 30486624393792.

The previous prime is 34206718442213. The next prime is 34206718442249. The reversal of 34206718442221 is 12224481760243.

It can be written as a sum of positive squares in 4 ways, for example, as 316693190025 + 33890025252196 = 562755^2 + 5821514^2 .

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 34206718442221 - 2³ = 34206718442213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34206718442251) 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, 45367000210 + ... + 45367000963.

It is an arithmetic number, because the mean of its divisors is an integer number (4763535061635).

Almost surely, 2^{34206718442221} is an apocalyptic number.

It is an amenable number.

34206718442221 is a deficient number, since it is larger than the sum of its proper divisors (3901562050859).

34206718442221 is a wasteful number, since it uses less digits than its factorization.

34206718442221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90734001215.

The product of its (nonzero) digits is 1032192, while the sum is 46.

The spelling of 34206718442221 in words is "thirty-four trillion, two hundred six billion, seven hundred eighteen million, four hundred forty-two thousand, two hundred twenty-one".