34220032 has 144 divisors (see below), whose sum is σ = 89631360. Its totient is φ = 12902400.

The previous prime is 34220027. The next prime is 34220047. The reversal of 34220032 is 23002243.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 34219988 and 34220015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1103857 + ... + 1103887.

It is an arithmetic number, because the mean of its divisors is an integer number (622440).

Almost surely, 2^34220032 is an apocalyptic number.

34220032 is a gapful number since it is divisible by the number (32) 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 34220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44815680).

34220032 is an abundant number, since it is smaller than the sum of its proper divisors (55411328).

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

34220032 is a wasteful number, since it uses less digits than its factorization.

34220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 34220032 is about 5849.7890560259. The cubic root of 34220032 is about 324.6585194353.

Adding to 34220032 its reverse (23002243), we get a palindrome (57222275).

The spelling of 34220032 in words is "thirty-four million, two hundred twenty thousand, thirty-two".