3682840 has 48 divisors (see below), whose sum is σ = 9644400. Its totient is φ = 1262016.

The previous prime is 3682837. The next prime is 3682843. The reversal of 3682840 is 482863.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3682837) and next prime (3682843).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3682843) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1021 + ... + 2899.

It is an arithmetic number, because the mean of its divisors is an integer number (200925).

Almost surely, 2^3682840 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 3682840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4822200).

3682840 is an abundant number, since it is smaller than the sum of its proper divisors (5961560).

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

3682840 is a wasteful number, since it uses less digits than its factorization.

3682840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 3682840 is about 1919.0726927347. The cubic root of 3682840 is about 154.4285583478.

The spelling of 3682840 in words is "three million, six hundred eighty-two thousand, eight hundred forty".