34533120 has 216 divisors, whose sum is σ = 122075856. Its totient is φ = 8290304.

The previous prime is 34533091. The next prime is 34533133. The reversal of 34533120 is 2133543.

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 23 ways as a sum of consecutive naturals, for example, 1501429 + ... + 1501451.

It is an arithmetic number, because the mean of its divisors is an integer number (565166).

Almost surely, 2^34533120 is an apocalyptic number.

34533120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61037928).

34533120 is an abundant number, since it is smaller than the sum of its proper divisors (87542736).

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

34533120 is a wasteful number, since it uses less digits than its factorization.

34533120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 34533120 is about 5876.4887475430. The cubic root of 34533120 is about 325.6456435398.

Adding to 34533120 its reverse (2133543), we get a palindrome (36666663).

The spelling of 34533120 in words is "thirty-four million, five hundred thirty-three thousand, one hundred twenty".