3827200 has 120 divisors (see below), whose sum is σ = 10655568. Its totient is φ = 1351680.

The previous prime is 3827191. The next prime is 3827207. The reversal of 3827200 is 27283.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3827207) 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, 166389 + ... + 166411.

Almost surely, 2^3827200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5327784).

3827200 is an abundant number, since it is smaller than the sum of its proper divisors (6828368).

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

3827200 is a wasteful number, since it uses less digits than its factorization.

3827200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 3827200 is about 1956.3230817020. The cubic root of 3827200 is about 156.4205178438.

The spelling of 3827200 in words is "three million, eight hundred twenty-seven thousand, two hundred".