34120032 has 24 divisors (see below), whose sum is σ = 89565336. Its totient is φ = 11373312.

The previous prime is 34120013. The next prime is 34120033. The reversal of 34120032 is 23002143.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 34119993 and 34120020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34120033) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 177613 + ... + 177804.

It is an arithmetic number, because the mean of its divisors is an integer number (3731889).

Almost surely, 2^34120032 is an apocalyptic number.

34120032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34120032 is an abundant number, since it is smaller than the sum of its proper divisors (55445304).

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

34120032 is a wasteful number, since it uses less digits than its factorization.

34120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355430 (or 355422 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 34120032 is about 5841.2354857513. The cubic root of 34120032 is about 324.3419648123.

Adding to 34120032 its reverse (23002143), we get a palindrome (57122175).

The spelling of 34120032 in words is "thirty-four million, one hundred twenty thousand, thirty-two".