3782844 has 72 divisors (see below), whose sum is σ = 10548720. Its totient is φ = 1135872.

The previous prime is 3782819. The next prime is 3782869. The reversal of 3782844 is 4482873.

3782844 is a `hidden beast` number, since 378 + 284 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3782819) and next prime (3782869).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3782799 and 3782808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27544 + ... + 27680.

It is an arithmetic number, because the mean of its divisors is an integer number (146510).

Almost surely, 2^3782844 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 3782844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5274360).

3782844 is an abundant number, since it is smaller than the sum of its proper divisors (6765876).

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

3782844 is a wasteful number, since it uses less digits than its factorization.

3782844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 214 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 3782844 is about 1944.9534698804. The cubic root of 3782844 is about 155.8138805984.

The spelling of 3782844 in words is "three million, seven hundred eighty-two thousand, eight hundred forty-four".