3428208 has 120 divisors (see below), whose sum is σ = 11606400. Its totient is φ = 922752.

The previous prime is 3428143. The next prime is 3428209. The reversal of 3428208 is 8028243.

3428208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3428208² = 23505220182528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3428209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19063 + ... + 19241.

It is an arithmetic number, because the mean of its divisors is an integer number (96720).

Almost surely, 2^3428208 is an apocalyptic number.

3428208 is a gapful number since it is divisible by the number (38) 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 3428208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5803200).

3428208 is an abundant number, since it is smaller than the sum of its proper divisors (8178192).

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

3428208 is a wasteful number, since it uses less digits than its factorization.

3428208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 210 counting only the distinct ones).

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

The square root of 3428208 is about 1851.5420600138. The cubic root of 3428208 is about 150.7841601423.

The spelling of 3428208 in words is "three million, four hundred twenty-eight thousand, two hundred eight".