3688020 has 72 divisors (see below), whose sum is σ = 12789504. Its totient is φ = 842688.

The previous prime is 3688001. The next prime is 3688021. The reversal of 3688020 is 208863.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3688021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204 + ... + 2723.

It is an arithmetic number, because the mean of its divisors is an integer number (177632).

Almost surely, 2^3688020 is an apocalyptic number.

3688020 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 3688020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6394752).

3688020 is an abundant number, since it is smaller than the sum of its proper divisors (9101484).

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

3688020 is a wasteful number, since it uses less digits than its factorization.

3688020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3688020 is about 1920.4218286616. The cubic root of 3688020 is about 154.5009268804.

The spelling of 3688020 in words is "three million, six hundred eighty-eight thousand, twenty".