34112411424 has 144 divisors (see below), whose sum is σ = 119393531712. Its totient is φ = 8996673024.

The previous prime is 34112411407. The next prime is 34112411441. The reversal of 34112411424 is 42411421143.

34112411424 is a `hidden beast` number, since 3 + 411 + 241 + 1 + 4 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (34112411407) and next prime (34112411441).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×34112411424² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 624594 + ... + 677009.

It is an arithmetic number, because the mean of its divisors is an integer number (829121748).

Almost surely, 2^34112411424 is an apocalyptic number.

It is an amenable number.

34112411424 is an abundant number, since it is smaller than the sum of its proper divisors (85281120288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34112411424 is a wasteful number, since it uses less digits than its factorization.

34112411424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301639 (or 1301628 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 34112411424 its reverse (42411421143), we get a palindrome (76523832567).

The spelling of 34112411424 in words is "thirty-four billion, one hundred twelve million, four hundred eleven thousand, four hundred twenty-four".