3987648 has 168 divisors, whose sum is σ = 13947648. Its totient is φ = 1064448.

The previous prime is 3987629. The next prime is 3987649. The reversal of 3987648 is 8467893.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3987649) 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, 92715 + ... + 92757.

Almost surely, 2^3987648 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 3987648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6973824).

3987648 is an abundant number, since it is smaller than the sum of its proper divisors (9960000).

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

3987648 is a wasteful number, since it uses less digits than its factorization.

3987648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 78 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 3987648 is about 1996.9096123761. The cubic root of 3987648 is about 158.5765402366.

The spelling of 3987648 in words is "three million, nine hundred eighty-seven thousand, six hundred forty-eight".