3656820 has 48 divisors (see below), whose sum is σ = 10422720. Its totient is φ = 957696.

The previous prime is 3656801. The next prime is 3656827. The reversal of 3656820 is 286563.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3656827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3024 + ... + 4056.

It is an arithmetic number, because the mean of its divisors is an integer number (217140).

Almost surely, 2^3656820 is an apocalyptic number.

3656820 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 3656820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5211360).

3656820 is an abundant number, since it is smaller than the sum of its proper divisors (6765900).

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

3656820 is a wasteful number, since it uses less digits than its factorization.

3656820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 3656820 is about 1912.2813600514. The cubic root of 3656820 is about 154.0640089231.

The spelling of 3656820 in words is "three million, six hundred fifty-six thousand, eight hundred twenty".