3687960 has 64 divisors (see below), whose sum is σ = 11242080. Its totient is φ = 967680.

The previous prime is 3687941. The next prime is 3687967. The reversal of 3687960 is 697863.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3687967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8550 + ... + 8970.

Almost surely, 2^3687960 is an apocalyptic number.

3687960 is a gapful number since it is divisible by the number (30) 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 3687960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5621040).

3687960 is an abundant number, since it is smaller than the sum of its proper divisors (7554120).

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

3687960 is a wasteful number, since it uses less digits than its factorization.

3687960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 3687960 is about 1920.4062070302. The cubic root of 3687960 is about 154.5000890229.

The spelling of 3687960 in words is "three million, six hundred eighty-seven thousand, nine hundred sixty".