3687648 has 48 divisors (see below), whose sum is σ = 9797760. Its totient is φ = 1214336.

The previous prime is 3687631. The next prime is 3687683. The reversal of 3687648 is 8467863.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is a d-powerful number, because it can be written as 3⁶ + 6⁸ + 8⁵ + 7 + 6⁸ + 4⁹ + 8⁵ .

It is a congruent number.

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, 10093 + ... + 10451.

It is an arithmetic number, because the mean of its divisors is an integer number (204120).

Almost surely, 2^3687648 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 3687648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898880).

3687648 is an abundant number, since it is smaller than the sum of its proper divisors (6110112).

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

3687648 is a wasteful number, since it uses less digits than its factorization.

3687648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 471 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 3687648 is about 1920.3249724981. The cubic root of 3687648 is about 154.4957320173.

The spelling of 3687648 in words is "three million, six hundred eighty-seven thousand, six hundred forty-eight".