3781200 has 120 divisors (see below), whose sum is σ = 12731328. Its totient is φ = 957440.

The previous prime is 3781189. The next prime is 3781213. The reversal of 3781200 is 21873.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27532 + ... + 27668.

Almost surely, 2^3781200 is an apocalyptic number.

3781200 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 3781200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6365664).

3781200 is an abundant number, since it is smaller than the sum of its proper divisors (8950128).

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

3781200 is a wasteful number, since it uses less digits than its factorization.

3781200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 3781200 is about 1944.5307917336. The cubic root of 3781200 is about 155.7913054198.

The spelling of 3781200 in words is "three million, seven hundred eighty-one thousand, two hundred".