34442304241 has 8 divisors (see below), whose sum is σ = 35948067624. Its totient is φ = 32968241280.

The previous prime is 34442304199. The next prime is 34442304269. The reversal of 34442304241 is 14240324443.

34442304241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1419782400 + 33022521841 = 37680^2 + 181721^2 .

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 34442304241 - 2¹⁷ = 34442173169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34442304041) 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, 7922886 + ... + 7927231.

It is an arithmetic number, because the mean of its divisors is an integer number (4493508453).

Almost surely, 2^34442304241 is an apocalyptic number.

It is an amenable number.

34442304241 is a deficient number, since it is larger than the sum of its proper divisors (1505763383).

34442304241 is a wasteful number, since it uses less digits than its factorization.

34442304241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15850211.

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 34442304241 its reverse (14240324443), we get a palindrome (48682628684).

The spelling of 34442304241 in words is "thirty-four billion, four hundred forty-two million, three hundred four thousand, two hundred forty-one".