3687120 has 100 divisors (see below), whose sum is σ = 12828420. Its totient is φ = 981504.

The previous prime is 3687119. The next prime is 3687127. The reversal of 3687120 is 217863.

It can be written as a sum of positive squares in 2 ways, for example, as 944784 + 2742336 = 972^2 + 1656^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3687127) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6196 + ... + 6764.

Almost surely, 2^3687120 is an apocalyptic number.

3687120 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 3687120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6414210).

3687120 is an abundant number, since it is smaller than the sum of its proper divisors (9141300).

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

3687120 is a wasteful number, since it uses less digits than its factorization.

3687120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 3687120 is about 1920.1874908456. The cubic root of 3687120 is about 154.4883580633.

The spelling of 3687120 in words is "three million, six hundred eighty-seven thousand, one hundred twenty".