3676000 has 48 divisors (see below), whose sum is σ = 9041760. Its totient is φ = 1468800.

The previous prime is 3675989. The next prime is 3676033. The reversal of 3676000 is 6763.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3541 + ... + 4459.

It is an arithmetic number, because the mean of its divisors is an integer number (188370).

Almost surely, 2^3676000 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 3676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4520880).

3676000 is an abundant number, since it is smaller than the sum of its proper divisors (5365760).

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

3676000 is an equidigital number, since it uses as much as digits as its factorization.

3676000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 926 counting only the distinct ones).

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

The square root of 3676000 is about 1917.2897537931. The cubic root of 3676000 is about 154.3328943175.

The spelling of 3676000 in words is "three million, six hundred seventy-six thousand".