3876444 has 96 divisors (see below), whose sum is σ = 11854080. Its totient is φ = 1080000.

The previous prime is 3876413. The next prime is 3876449. The reversal of 3876444 is 4446783.

3876444 is a `hidden beast` number, since 3 + 8 + 7 + 644 + 4 = 666.

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

Its product of digits (64512) is a multiple of the sum of its prime factors (288).

It is a junction number, because it is equal to n+sod(n) for n = 3876399 and 3876408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3876449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15319 + ... + 15569.

It is an arithmetic number, because the mean of its divisors is an integer number (123480).

Almost surely, 2^3876444 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 3876444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927040).

3876444 is an abundant number, since it is smaller than the sum of its proper divisors (7977636).

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

3876444 is a wasteful number, since it uses less digits than its factorization.

3876444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 280 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 3876444 is about 1968.8687107067. The cubic root of 3876444 is about 157.0885405349.

The spelling of 3876444 in words is "three million, eight hundred seventy-six thousand, four hundred forty-four".