3686820 has 48 divisors (see below), whose sum is σ = 10570560. Its totient is φ = 959616.

The previous prime is 3686801. The next prime is 3686833. The reversal of 3686820 is 286863.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1866 + ... + 3294.

It is an arithmetic number, because the mean of its divisors is an integer number (220220).

Almost surely, 2^3686820 is an apocalyptic number.

3686820 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 3686820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5285280).

3686820 is an abundant number, since it is smaller than the sum of its proper divisors (6883740).

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

3686820 is a wasteful number, since it uses less digits than its factorization.

3686820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 3686820 is about 1920.1093718848. The cubic root of 3686820 is about 154.4841680031.

The spelling of 3686820 in words is "three million, six hundred eighty-six thousand, eight hundred twenty".