34198016 has 40 divisors (see below), whose sum is σ = 72367020. Its totient is φ = 16089088.

The previous prime is 34198007. The next prime is 34198019. The reversal of 34198016 is 61089143.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 34105600 + 92416 = 5840^2 + 304^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34198019) 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, 6740 + ... + 10668.

Almost surely, 2^34198016 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 34198016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36183510).

34198016 is an abundant number, since it is smaller than the sum of its proper divisors (38169004).

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

34198016 is an equidigital number, since it uses as much as digits as its factorization.

34198016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3964 (or 3948 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 34198016 is about 5847.9069760043. The cubic root of 34198016 is about 324.5888797637.

The spelling of 34198016 in words is "thirty-four million, one hundred ninety-eight thousand, sixteen".