3865200 has 60 divisors (see below), whose sum is σ = 12385368. Its totient is φ = 1030400.

The previous prime is 3865187. The next prime is 3865229. The reversal of 3865200 is 25683.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 411 + ... + 2810.

Almost surely, 2^3865200 is an apocalyptic number.

3865200 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 3865200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6192684).

3865200 is an abundant number, since it is smaller than the sum of its proper divisors (8520168).

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

3865200 is a wasteful number, since it uses less digits than its factorization.

3865200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3242 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3865200 is about 1966.0111902021. The cubic root of 3865200 is about 156.9365099553.

The spelling of 3865200 in words is "three million, eight hundred sixty-five thousand, two hundred".