3871648 has 48 divisors (see below), whose sum is σ = 8817984. Its totient is φ = 1653760.

The previous prime is 3871619. The next prime is 3871657. The reversal of 3871648 is 8461783.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5661 + ... + 6307.

It is an arithmetic number, because the mean of its divisors is an integer number (183708).

Almost surely, 2^3871648 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 3871648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4408992).

3871648 is an abundant number, since it is smaller than the sum of its proper divisors (4946336).

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

3871648 is a wasteful number, since it uses less digits than its factorization.

3871648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 677 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The square root of 3871648 is about 1967.6503754478. The cubic root of 3871648 is about 157.0237296276.

The spelling of 3871648 in words is "three million, eight hundred seventy-one thousand, six hundred forty-eight".