3676890 has 32 divisors (see below), whose sum is σ = 10085760. Its totient is φ = 840384.

The previous prime is 3676889. The next prime is 3676891. The reversal of 3676890 is 986763.

3676890 is digitally balanced in base 2, 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 (3676889) and next prime (3676891).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3676891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8545 + ... + 8964.

It is an arithmetic number, because the mean of its divisors is an integer number (315180).

Almost surely, 2^3676890 is an apocalyptic number.

3676890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3676890 is an abundant number, since it is smaller than the sum of its proper divisors (6408870).

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

3676890 is a wasteful number, since it uses less digits than its factorization.

3676890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17526.

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 3676890 is about 1917.5218382068. The cubic root of 3676890 is about 154.3453485424.

The spelling of 3676890 in words is "three million, six hundred seventy-six thousand, eight hundred ninety".