34532124 has 48 divisors (see below), whose sum is σ = 88615296. Its totient is φ = 10379200.

The previous prime is 34532123. The next prime is 34532149. The reversal of 34532124 is 42123543.

34532124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 34532094 and 34532103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34532123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16294 + ... + 18290.

It is an arithmetic number, because the mean of its divisors is an integer number (1846152).

Almost surely, 2^34532124 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 34532124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44307648).

34532124 is an abundant number, since it is smaller than the sum of its proper divisors (54083172).

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

34532124 is a wasteful number, since it uses less digits than its factorization.

34532124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2144 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 34532124 is about 5876.4040024491. The cubic root of 34532124 is about 325.6425127658.

Adding to 34532124 its reverse (42123543), we get a palindrome (76655667).

The spelling of 34532124 in words is "thirty-four million, five hundred thirty-two thousand, one hundred twenty-four".