3805200 has 180 divisors, whose sum is σ = 15191488. Its totient is φ = 864000.

The previous prime is 3805183. The next prime is 3805211. The reversal of 3805200 is 25083.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25125 + ... + 25275.

Almost surely, 2^3805200 is an apocalyptic number.

3805200 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 3805200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7595744).

3805200 is an abundant number, since it is smaller than the sum of its proper divisors (11386288).

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

3805200 is a wasteful number, since it uses less digits than its factorization.

3805200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 3805200 is about 1950.6921848411. The cubic root of 3805200 is about 156.1202229071.

It can be divided in two parts, 3805 and 200, that added together give a triangular number (4005 = T₈₉).

The spelling of 3805200 in words is "three million, eight hundred five thousand, two hundred".