3671840 has 48 divisors (see below), whose sum is σ = 8858808. Its totient is φ = 1437696.

The previous prime is 3671839. The next prime is 3671849. The reversal of 3671840 is 481763.

It can be written as a sum of positive squares in 4 ways, for example, as 2598544 + 1073296 = 1612^2 + 1036^2 .

It is not an unprimeable number, because it can be changed into a prime (3671849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8264 + ... + 8696.

Almost surely, 2^3671840 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 3671840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4429404).

3671840 is an abundant number, since it is smaller than the sum of its proper divisors (5186968).

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

3671840 is a wasteful number, since it uses less digits than its factorization.

3671840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 3671840 is about 1916.2045819797. The cubic root of 3671840 is about 154.2746546387.

The spelling of 3671840 in words is "three million, six hundred seventy-one thousand, eight hundred forty".