34478208 has 72 divisors (see below), whose sum is σ = 99791445. Its totient is φ = 11426304.

The previous prime is 34478203. The next prime is 34478209. The reversal of 34478208 is 80287443.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

34478208 is a `hidden beast` number, since 3 + 447 + 8 + 208 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27123264 + 7354944 = 5208^2 + 2712^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4152.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34478201) 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 8 ways as a sum of consecutive naturals, for example, 199210 + ... + 199382.

Almost surely, 2^34478208 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 34478208

34478208 is an abundant number, since it is smaller than the sum of its proper divisors (65313237).

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

34478208 is an equidigital number, since it uses as much as digits as its factorization.

34478208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 34478208 is about 5871.8147109731. The cubic root of 34478208 is about 325.4729461400.

The spelling of 34478208 in words is "thirty-four million, four hundred seventy-eight thousand, two hundred eight".