34201022321 has 8 divisors (see below), whose sum is σ = 34242734664. Its totient is φ = 34159334400.

The previous prime is 34201022309. The next prime is 34201022381. The reversal of 34201022321 is 12322010243.

It can be written as a sum of positive squares in 4 ways, for example, as 13102007296 + 21099015025 = 114464^2 + 145255^2 .

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 34201022321 - 2³⁴ = 17021153137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34201022293 and 34201022302.

It is not an unprimeable number, because it can be changed into a prime (34201022381) 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, 4984325 + ... + 4991181.

It is an arithmetic number, because the mean of its divisors is an integer number (4280341833).

Almost surely, 2^34201022321 is an apocalyptic number.

It is an amenable number.

34201022321 is a deficient number, since it is larger than the sum of its proper divisors (41712343).

34201022321 is a wasteful number, since it uses less digits than its factorization.

34201022321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12211.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 34201022321 its reverse (12322010243), we get a palindrome (46523032564).

The spelling of 34201022321 in words is "thirty-four billion, two hundred one million, twenty-two thousand, three hundred twenty-one".