3778200 has 72 divisors (see below), whose sum is σ = 12694500. Its totient is φ = 1007040.

The previous prime is 3778163. The next prime is 3778213. The reversal of 3778200 is 28773.

3778200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 751 + ... + 2849.

Almost surely, 2^3778200 is an apocalyptic number.

3778200 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 3778200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6347250).

3778200 is an abundant number, since it is smaller than the sum of its proper divisors (8916300).

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

3778200 is a wasteful number, since it uses less digits than its factorization.

3778200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 3778200 is about 1943.7592443510. The cubic root of 3778200 is about 155.7500929673.

The spelling of 3778200 in words is "three million, seven hundred seventy-eight thousand, two hundred".