3881200 has 60 divisors (see below), whose sum is σ = 9656128. Its totient is φ = 1497600.

The previous prime is 3881177. The next prime is 3881203. The reversal of 3881200 is 21883.

It is an Ulam number.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3881203) 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, 12244 + ... + 12556.

Almost surely, 2^3881200 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 3881200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4828064).

3881200 is an abundant number, since it is smaller than the sum of its proper divisors (5774928).

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

3881200 is a wasteful number, since it uses less digits than its factorization.

3881200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 3881200 is about 1970.0761406606. The cubic root of 3881200 is about 157.1527581326.

The spelling of 3881200 in words is "three million, eight hundred eighty-one thousand, two hundred".