3987712 has 36 divisors (see below), whose sum is σ = 8194396. Its totient is φ = 1935360.

The previous prime is 3987677. The next prime is 3987727. The reversal of 3987712 is 2177893.

It can be written as a sum of positive squares in 2 ways, for example, as 1478656 + 2509056 = 1216^2 + 1584^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9262 + ... + 9682.

Almost surely, 2^3987712 is an apocalyptic number.

3987712 is a gapful number since it is divisible by the number (32) 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 3987712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4097198).

3987712 is an abundant number, since it is smaller than the sum of its proper divisors (4206684).

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

3987712 is an equidigital number, since it uses as much as digits as its factorization.

3987712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 460 counting only the distinct ones).

The product of its digits is 21168, while the sum is 37.

The square root of 3987712 is about 1996.9256370731. The cubic root of 3987712 is about 158.5773885934.

It can be divided in two parts, 3 and 987712, that added together give a triangular number (987715 = T₁₄₀₅).

The spelling of 3987712 in words is "three million, nine hundred eighty-seven thousand, seven hundred twelve".