34089024 has 56 divisors (see below), whose sum is σ = 92313760. Its totient is φ = 11096064.

The previous prime is 34089019. The next prime is 34089037. The reversal of 34089024 is 42098043.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34088982 and 34089000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6192 + ... + 10320.

It is an arithmetic number, because the mean of its divisors is an integer number (1648460).

Almost surely, 2^34089024 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 34089024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46156880).

34089024 is an abundant number, since it is smaller than the sum of its proper divisors (58224736).

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

34089024 is a wasteful number, since it uses less digits than its factorization.

34089024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4187 (or 4177 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 34089024 is about 5838.5806494387. The cubic root of 34089024 is about 324.2436819441.

The spelling of 34089024 in words is "thirty-four million, eighty-nine thousand, twenty-four".