34233210322441 has 16 divisors (see below), whose sum is σ = 37115767437840. Its totient is φ = 31573396283520.

The previous prime is 34233210322429. The next prime is 34233210322463. The reversal of 34233210322441 is 14422301233243.

It can be written as a sum of positive squares in 8 ways, for example, as 10296262670841 + 23936947651600 = 3208779^2 + 4892540^2 .

It is not a de Polignac number, because 34233210322441 - 2¹⁵ = 34233210289673 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34233210322397 and 34233210322406.

It is not an unprimeable number, because it can be changed into a prime (34233210362441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3909490 + ... + 9151531.

It is an arithmetic number, because the mean of its divisors is an integer number (2319735464865).

Almost surely, 2^{34233210322441} is an apocalyptic number.

It is an amenable number.

34233210322441 is a deficient number, since it is larger than the sum of its proper divisors (2882557115399).

34233210322441 is a wasteful number, since it uses less digits than its factorization.

34233210322441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13062253 (or 13062227 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 34233210322441 its reverse (14422301233243), we get a palindrome (48655511555684).

The spelling of 34233210322441 in words is "thirty-four trillion, two hundred thirty-three billion, two hundred ten million, three hundred twenty-two thousand, four hundred forty-one".