34304105611361 has 8 divisors (see below), whose sum is σ = 34658139261480. Its totient is φ = 33950079779328.

The previous prime is 34304105611351. The next prime is 34304105611367. The reversal of 34304105611361 is 16311650140343.

It can be written as a sum of positive squares in 4 ways, for example, as 5623153799761 + 28680951811600 = 2371319^2 + 5355460^2 .

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 34304105611361 - 2¹⁴ = 34304105594977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34304105611367) 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, 7080755 + ... + 10897031.

It is an arithmetic number, because the mean of its divisors is an integer number (4332267407685).

Almost surely, 2^{34304105611361} is an apocalyptic number.

It is an amenable number.

34304105611361 is a deficient number, since it is larger than the sum of its proper divisors (354033650119).

34304105611361 is an equidigital number, since it uses as much as digits as its factorization.

34304105611361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3909043.

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 34304105611361 in words is "thirty-four trillion, three hundred four billion, one hundred five million, six hundred eleven thousand, three hundred sixty-one".