34802208 has 144 divisors (see below), whose sum is σ = 115367616. Its totient is φ = 9745920.

The previous prime is 34802203. The next prime is 34802221. The reversal of 34802208 is 80220843.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×34802208² = 2422387363350528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34802203) 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 23 ways as a sum of consecutive naturals, for example, 122835 + ... + 123117.

It is an arithmetic number, because the mean of its divisors is an integer number (801164).

Almost surely, 2^34802208 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 34802208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57683808).

34802208 is an abundant number, since it is smaller than the sum of its proper divisors (80565408).

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

34802208 is a wasteful number, since it uses less digits than its factorization.

34802208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 34802208 is about 5899.3396240596. The cubic root of 34802208 is about 326.4892849746.

The spelling of 34802208 in words is "thirty-four million, eight hundred two thousand, two hundred eight".