3688084224 has 720 divisors, whose sum is σ = 13533569280. Its totient is φ = 985374720.

The previous prime is 3688084189. The next prime is 3688084303. The reversal of 3688084224 is 4224808863.

3688084224 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 3688084224.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 99677934 + ... + 99677970.

It is an arithmetic number, because the mean of its divisors is an integer number (18796624).

Almost surely, 2^3688084224 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 3688084224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6766784640).

3688084224 is an abundant number, since it is smaller than the sum of its proper divisors (9845485056).

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

3688084224 is a wasteful number, since it uses less digits than its factorization.

3688084224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 3688084224 is about 60729.5992412267. The cubic root of 3688084224 is about 1545.0182371304.

It can be divided in two parts, 36880 and 84224, that added together give a square (121104 = 348²).

The spelling of 3688084224 in words is "three billion, six hundred eighty-eight million, eighty-four thousand, two hundred twenty-four".