3766000 has 80 divisors (see below), whose sum is σ = 10445760. Its totient is φ = 1286400.

The previous prime is 3765977. The next prime is 3766013. The reversal of 3766000 is 6673.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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, 13866 + ... + 14134.

It is an arithmetic number, because the mean of its divisors is an integer number (130572).

Almost surely, 2^3766000 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 3766000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5222880).

3766000 is an abundant number, since it is smaller than the sum of its proper divisors (6679760).

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

3766000 is a wasteful number, since it uses less digits than its factorization.

3766000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 283 counting only the distinct ones).

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

The square root of 3766000 is about 1940.6184581210. The cubic root of 3766000 is about 155.5822705440.

The spelling of 3766000 in words is "three million, seven hundred sixty-six thousand".