3987144 has 96 divisors (see below), whose sum is σ = 12841920. Its totient is φ = 1135296.

The previous prime is 3987121. The next prime is 3987149. The reversal of 3987144 is 4417893.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3987099 and 3987108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3987149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13462 + ... + 13754.

It is an arithmetic number, because the mean of its divisors is an integer number (133770).

Almost surely, 2^3987144 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 3987144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6420960).

3987144 is an abundant number, since it is smaller than the sum of its proper divisors (8854776).

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

3987144 is a wasteful number, since it uses less digits than its factorization.

3987144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 305 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 3987144 is about 1996.7834133926. The cubic root of 3987144 is about 158.5698591100.

The spelling of 3987144 in words is "three million, nine hundred eighty-seven thousand, one hundred forty-four".