34131424224 has 24 divisors (see below), whose sum is σ = 89594988840. Its totient is φ = 11377141376.

The previous prime is 34131424207. The next prime is 34131424237. The reversal of 34131424224 is 42242413143.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 34131424191 and 34131424200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 177767739 + ... + 177767930.

It is an arithmetic number, because the mean of its divisors is an integer number (3733124535).

Almost surely, 2^34131424224 is an apocalyptic number.

It is an amenable number.

34131424224 is an abundant number, since it is smaller than the sum of its proper divisors (55463564616).

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

34131424224 is a wasteful number, since it uses less digits than its factorization.

34131424224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355535682 (or 355535674 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 34131424224 its reverse (42242413143), we get a palindrome (76373837367).

The spelling of 34131424224 in words is "thirty-four billion, one hundred thirty-one million, four hundred twenty-four thousand, two hundred twenty-four".