3728522016 has 288 divisors, whose sum is σ = 11442150720. Its totient is φ = 1193647104.

The previous prime is 3728522011. The next prime is 3728522023. The reversal of 3728522016 is 6102258273.

3728522016 is a `hidden beast` number, since 372 + 85 + 2 + 201 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3728522011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34206570 + ... + 34206678.

It is an arithmetic number, because the mean of its divisors is an integer number (39729690).

Almost surely, 2^3728522016 is an apocalyptic number.

3728522016 is a gapful number since it is divisible by the number (36) 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 3728522016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5721075360).

3728522016 is an abundant number, since it is smaller than the sum of its proper divisors (7713628704).

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

3728522016 is a wasteful number, since it uses less digits than its factorization.

3728522016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3728522016 is about 61061.6247409124. The cubic root of 3728522016 is about 1550.6444792700.

The spelling of 3728522016 in words is "three billion, seven hundred twenty-eight million, five hundred twenty-two thousand, sixteen".