3606682240 has 192 divisors, whose sum is σ = 10247523840. Its totient is φ = 1209772032.

The previous prime is 3606682207. The next prime is 3606682241. The reversal of 3606682240 is 422866063.

3606682240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3606682240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3606682241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1472697 + ... + 1475143.

It is an arithmetic number, because the mean of its divisors is an integer number (53372520).

Almost surely, 2^3606682240 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 3606682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5123761920).

3606682240 is an abundant number, since it is smaller than the sum of its proper divisors (6640841600).

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

3606682240 is a wasteful number, since it uses less digits than its factorization.

3606682240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The square root of 3606682240 is about 60055.6595168182. The cubic root of 3606682240 is about 1533.5665496977.

The spelling of 3606682240 in words is "three billion, six hundred six million, six hundred eighty-two thousand, two hundred forty".