3628200 has 48 divisors (see below), whose sum is σ = 11249280. Its totient is φ = 967360.

The previous prime is 3628199. The next prime is 3628201. The reversal of 3628200 is 28263.

It is an interprime number because it is at equal distance from previous prime (3628199) and next prime (3628201).

It is not an unprimeable number, because it can be changed into a prime (3628201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2424 + ... + 3623.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 2^3628200 is an apocalyptic number.

3628200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3628200 is an abundant number, since it is smaller than the sum of its proper divisors (7621080).

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

3628200 is a wasteful number, since it uses less digits than its factorization.

3628200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6066 (or 6057 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3628200 is about 1904.7834522591. The cubic root of 3628200 is about 153.6610298927.

It can be divided in two parts, 3628 and 200, that added together give a triangular number (3828 = T₈₇).

The spelling of 3628200 in words is "three million, six hundred twenty-eight thousand, two hundred".