34122132 has 72 divisors (see below), whose sum is σ = 94785600. Its totient is φ = 10264320.

The previous prime is 34122131. The next prime is 34122139. The reversal of 34122132 is 23122143.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34122131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78588 + ... + 79020.

Almost surely, 2^34122132 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 34122132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47392800).

34122132 is an abundant number, since it is smaller than the sum of its proper divisors (60663468).

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

34122132 is a wasteful number, since it uses less digits than its factorization.

34122132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 648 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 34122132 is about 5841.4152394775. The cubic root of 34122132 is about 324.3486188130.

Adding to 34122132 its reverse (23122143), we get a palindrome (57244275).

The spelling of 34122132 in words is "thirty-four million, one hundred twenty-two thousand, one hundred thirty-two".