3676728 has 64 divisors (see below), whose sum is σ = 10569600. Its totient is φ = 1054080.

The previous prime is 3676723. The next prime is 3676733. The reversal of 3676728 is 8276763.

3676728 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3676723) and next prime (3676733).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3676721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4650 + ... + 5382.

It is an arithmetic number, because the mean of its divisors is an integer number (165150).

Almost surely, 2^3676728 is an apocalyptic number.

3676728 is a gapful number since it is divisible by the number (38) 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 3676728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5284800).

3676728 is an abundant number, since it is smaller than the sum of its proper divisors (6892872).

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

3676728 is a wasteful number, since it uses less digits than its factorization.

3676728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 768 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 3676728 is about 1917.4795957193. The cubic root of 3676728 is about 154.3430817433.

The spelling of 3676728 in words is "three million, six hundred seventy-six thousand, seven hundred twenty-eight".