34202112 has 80 divisors (see below), whose sum is σ = 104165952. Its totient is φ = 9768960.

The previous prime is 34202099. The next prime is 34202141. The reversal of 34202112 is 21120243.

It is a junction number, because it is equal to n+sod(n) for n = 34202091 and 34202100.

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 7 ways as a sum of consecutive naturals, for example, 9162 + ... + 12342.

Almost surely, 2^34202112 is an apocalyptic number.

34202112 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 34202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52082976).

34202112 is an abundant number, since it is smaller than the sum of its proper divisors (69963840).

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

34202112 is an equidigital number, since it uses as much as digits as its factorization.

34202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3209 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 34202112 is about 5848.2571762877. The cubic root of 34202112 is about 324.6018382443.

Adding to 34202112 its reverse (21120243), we get a palindrome (55322355).

The spelling of 34202112 in words is "thirty-four million, two hundred two thousand, one hundred twelve".