3666996 has 36 divisors (see below), whose sum is σ = 9523332. Its totient is φ = 1188864.

The previous prime is 3666991. The next prime is 3667003. The reversal of 3666996 is 6996663.

It can be written as a sum of positive squares in 2 ways, for example, as 3348900 + 318096 = 1830^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3666991) 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 11 ways as a sum of consecutive naturals, for example, 45 + ... + 2708.

It is an arithmetic number, because the mean of its divisors is an integer number (264537).

Almost surely, 2^3666996 is an apocalyptic number.

3666996 is a gapful number since it is divisible by the number (36) 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 3666996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4761666).

3666996 is an abundant number, since it is smaller than the sum of its proper divisors (5856336).

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

3666996 is a wasteful number, since it uses less digits than its factorization.

3666996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800 (or 2795 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 3666996 is about 1914.9402079438. The cubic root of 3666996 is about 154.2067835540.

The spelling of 3666996 in words is "three million, six hundred sixty-six thousand, nine hundred ninety-six".