34404112102321 has 8 divisors (see below), whose sum is σ = 37053659467944. Its totient is φ = 31755004337280.

The previous prime is 34404112102303. The next prime is 34404112102331. The reversal of 34404112102321 is 12320121140443.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2396579551921 + 32007532550400 = 1548089^2 + 5657520^2 .

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 34404112102321 - 2³⁷ = 34266673148849 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34404112102321.

It is not an unprimeable number, because it can be changed into a prime (34404112102331) 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, 109737586 + ... + 110050651.

It is an arithmetic number, because the mean of its divisors is an integer number (4631707433493).

Almost surely, 2^{34404112102321} is an apocalyptic number.

It is an amenable number.

34404112102321 is a deficient number, since it is larger than the sum of its proper divisors (2649547365623).

34404112102321 is a wasteful number, since it uses less digits than its factorization.

34404112102321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219800291.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 34404112102321 its reverse (12320121140443), we get a palindrome (46724233242764).

The spelling of 34404112102321 in words is "thirty-four trillion, four hundred four billion, one hundred twelve million, one hundred two thousand, three hundred twenty-one".