34133120 has 128 divisors (see below), whose sum is σ = 98409600. Its totient is φ = 11059200.

The previous prime is 34133111. The next prime is 34133147. The reversal of 34133120 is 2133143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84920 + ... + 85320.

It is an arithmetic number, because the mean of its divisors is an integer number (768825).

Almost surely, 2^34133120 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 34133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49204800).

34133120 is an abundant number, since it is smaller than the sum of its proper divisors (64276480).

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

34133120 is a wasteful number, since it uses less digits than its factorization.

34133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 34133120 is about 5842.3556892747. The cubic root of 34133120 is about 324.3834306290.

Adding to 34133120 its reverse (2133143), we get a palindrome (36266263).

The spelling of 34133120 in words is "thirty-four million, one hundred thirty-three thousand, one hundred twenty".