3667000 has 64 divisors (see below), whose sum is σ = 9079200. Its totient is φ = 1382400.

The previous prime is 3666991. The next prime is 3667003. The reversal of 3667000 is 7663.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3667003) 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, 18904 + ... + 19096.

Almost surely, 2^3667000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3667000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4539600).

3667000 is an abundant number, since it is smaller than the sum of its proper divisors (5412200).

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

3667000 is a wasteful number, since it uses less digits than its factorization.

3667000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 3667000 is about 1914.9412523626. The cubic root of 3667000 is about 154.2068396241.

It can be divided in two parts, 3 and 667000, that multiplied together give a triangular number (2001000 = T₂₀₀₀).

The spelling of 3667000 in words is "three million, six hundred sixty-seven thousand".