34230441424311 has 24 divisors (see below), whose sum is σ = 55678841187840. Its totient is φ = 20076505232400.

The previous prime is 34230441424303. The next prime is 34230441424357. The reversal of 34230441424311 is 11342414403243.

34230441424311 is a `hidden beast` number, since 3 + 4 + 2 + 304 + 4 + 14 + 24 + 311 = 666.

It is not a de Polignac number, because 34230441424311 - 2³ = 34230441424303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34230441824311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5576803941 + ... + 5576810078.

It is an arithmetic number, because the mean of its divisors is an integer number (2319951716160).

Almost surely, 2^{34230441424311} is an apocalyptic number.

34230441424311 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

34230441424311 is a deficient number, since it is larger than the sum of its proper divisors (21448399763529).

34230441424311 is a wasteful number, since it uses less digits than its factorization.

34230441424311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11153614067 (or 11153614064 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 34230441424311 its reverse (11342414403243), we get a palindrome (45572855827554).

The spelling of 34230441424311 in words is "thirty-four trillion, two hundred thirty billion, four hundred forty-one million, four hundred twenty-four thousand, three hundred eleven".