34633120 has 48 divisors (see below), whose sum is σ = 82260360. Its totient is φ = 13778944.

The previous prime is 34633111. The next prime is 34633127. The reversal of 34633120 is 2133643.

34633120 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 4 ways, for example, as 11861136 + 22771984 = 3444^2 + 4772^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34633091 and 34633100.

It is not an unprimeable number, because it can be changed into a prime (34633127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36816 + ... + 37744.

Almost surely, 2^34633120 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 34633120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41130180).

34633120 is an abundant number, since it is smaller than the sum of its proper divisors (47627240).

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

34633120 is a wasteful number, since it uses less digits than its factorization.

34633120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 34633120 is about 5884.9910790077. The cubic root of 34633120 is about 325.9596723297.

Adding to 34633120 its reverse (2133643), we get a palindrome (36766763).

The spelling of 34633120 in words is "thirty-four million, six hundred thirty-three thousand, one hundred twenty".