34557424 has 40 divisors (see below), whose sum is σ = 74838960. Its totient is φ = 15321600.

The previous prime is 34557403. The next prime is 34557433. The reversal of 34557424 is 42475543.

34557424 = 898² + 899² + ... + 938².

34557424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 34557424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4822 + ... + 9610.

It is an arithmetic number, because the mean of its divisors is an integer number (1870974).

Almost surely, 2^34557424 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 34557424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37419480).

34557424 is an abundant number, since it is smaller than the sum of its proper divisors (40281536).

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

34557424 is a wasteful number, since it uses less digits than its factorization.

34557424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4849 (or 4843 counting only the distinct ones).

The product of its digits is 67200, while the sum is 34.

The square root of 34557424 is about 5878.5562853476. The cubic root of 34557424 is about 325.7220208044.

The spelling of 34557424 in words is "thirty-four million, five hundred fifty-seven thousand, four hundred twenty-four".