3687920 has 20 divisors (see below), whose sum is σ = 8574600. Its totient is φ = 1475136.

The previous prime is 3687911. The next prime is 3687923. The reversal of 3687920 is 297863.

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3687923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22970 + ... + 23129.

It is an arithmetic number, because the mean of its divisors is an integer number (428730).

Almost surely, 2^3687920 is an apocalyptic number.

It is an amenable number.

3687920 is an abundant number, since it is smaller than the sum of its proper divisors (4886680).

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

3687920 is a wasteful number, since it uses less digits than its factorization.

3687920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46112 (or 46106 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 3687920 is about 1920.3957925386. The cubic root of 3687920 is about 154.4995304462.

The spelling of 3687920 in words is "three million, six hundred eighty-seven thousand, nine hundred twenty".