3873144 has 64 divisors (see below), whose sum is σ = 11197440. Its totient is φ = 1103360.

The previous prime is 3873101. The next prime is 3873151. The reversal of 3873144 is 4413783.

Its product of digits (8064) is a multiple of the sum of its prime divisors (896).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4057 + ... + 4919.

It is an arithmetic number, because the mean of its divisors is an integer number (174960).

Almost surely, 2^3873144 is an apocalyptic number.

3873144 is a gapful number since it is divisible by the number (34) 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 3873144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5598720).

3873144 is an abundant number, since it is smaller than the sum of its proper divisors (7324296).

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

3873144 is a wasteful number, since it uses less digits than its factorization.

3873144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 896 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 3873144 is about 1968.0304875687. The cubic root of 3873144 is about 157.0439516149.

The spelling of 3873144 in words is "three million, eight hundred seventy-three thousand, one hundred forty-four".