3691890 has 96 divisors (see below), whose sum is σ = 10782720. Its totient is φ = 870912.

The previous prime is 3691859. The next prime is 3691913. The reversal of 3691890 is 981963.

3691890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 29007 + ... + 29133.

It is an arithmetic number, because the mean of its divisors is an integer number (112320).

Almost surely, 2^3691890 is an apocalyptic number.

3691890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3691890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5391360).

3691890 is an abundant number, since it is smaller than the sum of its proper divisors (7090830).

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

3691890 is a wasteful number, since it uses less digits than its factorization.

3691890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 3691890 is about 1921.4291556027. The cubic root of 3691890 is about 154.5549495058.

The spelling of 3691890 in words is "three million, six hundred ninety-one thousand, eight hundred ninety".