3808200 has 96 divisors (see below), whose sum is σ = 12900960. Its totient is φ = 921600.

The previous prime is 3808177. The next prime is 3808223. The reversal of 3808200 is 28083.

3808200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3808177) and next prime (3808223).

It is an unprimeable number.

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, 6312 + ... + 6888.

It is an arithmetic number, because the mean of its divisors is an integer number (134385).

Almost surely, 2^3808200 is an apocalyptic number.

3808200 is a gapful number since it is divisible by the number (30) 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 3808200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6450480).

3808200 is an abundant number, since it is smaller than the sum of its proper divisors (9092760).

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

3808200 is a wasteful number, since it uses less digits than its factorization.

3808200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 3808200 is about 1951.4609911551. The cubic root of 3808200 is about 156.1612402551.

The spelling of 3808200 in words is "three million, eight hundred eight thousand, two hundred".