3686802240 has 336 divisors, whose sum is σ = 13630631616. Its totient is φ = 840744960.

The previous prime is 3686802209. The next prime is 3686802281. The reversal of 3686802240 is 422086863.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1973787 + ... + 1975653.

It is an arithmetic number, because the mean of its divisors is an integer number (40567356).

Almost surely, 2^3686802240 is an apocalyptic number.

3686802240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3686802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6815315808).

3686802240 is an abundant number, since it is smaller than the sum of its proper divisors (9943829376).

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

3686802240 is a wasteful number, since it uses less digits than its factorization.

3686802240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 3686802240 is about 60719.0434707267. The cubic root of 3686802240 is about 1544.8391994439.

The spelling of 3686802240 in words is "three billion, six hundred eighty-six million, eight hundred two thousand, two hundred forty".