3538801728 has 336 divisors, whose sum is σ = 12831202176. Its totient is φ = 905748480.

The previous prime is 3538801711. The next prime is 3538801729. The reversal of 3538801728 is 8271088353.

3538801728 is a `hidden beast` number, since 3 + 538 + 80 + 17 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (3538801729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3237150 + ... + 3238242.

Almost surely, 2^3538801728 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 3538801728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6415601088).

3538801728 is an abundant number, since it is smaller than the sum of its proper divisors (9292400448).

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

3538801728 is a wasteful number, since it uses less digits than its factorization.

3538801728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 3538801728 is about 59487.8284021194. The cubic root of 3538801728 is about 1523.8845883627.

The spelling of 3538801728 in words is "three billion, five hundred thirty-eight million, eight hundred one thousand, seven hundred twenty-eight".