34857424 has 60 divisors (see below), whose sum is σ = 79324164. Its totient is φ = 14794752.

The previous prime is 34857401. The next prime is 34857451. The reversal of 34857424 is 42475843.

It can be written as a sum of positive squares in 2 ways, for example, as 33269824 + 1587600 = 5768^2 + 1260^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 135504 + ... + 135760.

Almost surely, 2^34857424 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 34857424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39662082).

34857424 is an abundant number, since it is smaller than the sum of its proper divisors (44466740).

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

34857424 is a wasteful number, since it uses less digits than its factorization.

34857424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 439 counting only the distinct ones).

The product of its digits is 107520, while the sum is 37.

The square root of 34857424 is about 5904.0176151499. The cubic root of 34857424 is about 326.6618593397.

The spelling of 34857424 in words is "thirty-four million, eight hundred fifty-seven thousand, four hundred twenty-four".