3681280 has 44 divisors (see below), whose sum is σ = 8843040. Its totient is φ = 1470464.

The previous prime is 3681277. The next prime is 3681283. The reversal of 3681280 is 821863.

It is an interprime number because it is at equal distance from previous prime (3681277) and next prime (3681283).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3681283) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4761 + ... + 5479.

Almost surely, 2^3681280 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 3681280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4421520).

3681280 is an abundant number, since it is smaller than the sum of its proper divisors (5161760).

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

3681280 is an equidigital number, since it uses as much as digits as its factorization.

3681280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 3681280 is about 1918.6662033819. Note that the first 3 decimals coincide. The cubic root of 3681280 is about 154.4067506691.

The spelling of 3681280 in words is "three million, six hundred eighty-one thousand, two hundred eighty".