34414324241 has 16 divisors (see below), whose sum is σ = 39183879168. Its totient is φ = 29918869200.

The previous prime is 34414324207. The next prime is 34414324247. The reversal of 34414324241 is 14242341443.

It is not a de Polignac number, because 34414324241 - 2¹⁴ = 34414307857 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34414324198 and 34414324207.

It is not an unprimeable number, because it can be changed into a prime (34414324247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1386026 + ... + 1410636.

It is an arithmetic number, because the mean of its divisors is an integer number (2448992448).

Almost surely, 2^34414324241 is an apocalyptic number.

It is an amenable number.

34414324241 is a deficient number, since it is larger than the sum of its proper divisors (4769554927).

34414324241 is a wasteful number, since it uses less digits than its factorization.

34414324241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30172.

The product of its digits is 36864, while the sum is 32.

Adding to 34414324241 its reverse (14242341443), we get a palindrome (48656665684).

The spelling of 34414324241 in words is "thirty-four billion, four hundred fourteen million, three hundred twenty-four thousand, two hundred forty-one".