3688960 has 80 divisors (see below), whose sum is σ = 9722592. Its totient is φ = 1331200.

The previous prime is 3688939. The next prime is 3688963. The reversal of 3688960 is 698863.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3688963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28095 + ... + 28225.

Almost surely, 2^3688960 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 3688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4861296).

3688960 is an abundant number, since it is smaller than the sum of its proper divisors (6033632).

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

3688960 is a wasteful number, since it uses less digits than its factorization.

3688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 3688960 is about 1920.6665509661. Note that the first 3 decimals coincide. The cubic root of 3688960 is about 154.5140521287.

The spelling of 3688960 in words is "three million, six hundred eighty-eight thousand, nine hundred sixty".