34124579424 has 576 divisors, whose sum is σ = 115834118400. Its totient is φ = 9795520512.

The previous prime is 34124579381. The next prime is 34124579471. The reversal of 34124579424 is 42497542143.

34124579424 is a `hidden beast` number, since 34 + 1 + 2 + 4 + 579 + 42 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34124579424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209353167 + ... + 209353329.

It is an arithmetic number, because the mean of its divisors is an integer number (201100900).

Almost surely, 2^34124579424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34124579424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57917059200).

34124579424 is an abundant number, since it is smaller than the sum of its proper divisors (81709538976).

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

34124579424 is a wasteful number, since it uses less digits than its factorization.

34124579424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 309 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 34124579424 in words is "thirty-four billion, one hundred twenty-four million, five hundred seventy-nine thousand, four hundred twenty-four".