3687580 has 36 divisors (see below), whose sum is σ = 8393112. Its totient is φ = 1360320.

The previous prime is 3687557. The next prime is 3687583. The reversal of 3687580 is 857863.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3687583) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2835 + ... + 3925.

It is an arithmetic number, because the mean of its divisors is an integer number (233142).

Almost surely, 2^3687580 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 3687580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4196556).

3687580 is an abundant number, since it is smaller than the sum of its proper divisors (4705532).

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

3687580 is a wasteful number, since it uses less digits than its factorization.

3687580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 3687580 is about 1920.3072670799. The cubic root of 3687580 is about 154.4947823809.

It can be divided in two parts, 36 and 87580, that added together give a square (87616 = 296²).

The spelling of 3687580 in words is "three million, six hundred eighty-seven thousand, five hundred eighty".