3538025568 has 576 divisors, whose sum is σ = 13737185280. Its totient is φ = 867801600.

The previous prime is 3538025539. The next prime is 3538025591. The reversal of 3538025568 is 8655208353.

3538025568 is a `hidden beast` number, since 3 + 5 + 3 + 80 + 2 + 5 + 568 = 666.

3538025568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11376133 + ... + 11376443.

It is an arithmetic number, because the mean of its divisors is an integer number (23849280).

Almost surely, 2^3538025568 is an apocalyptic number.

3538025568 is a gapful number since it is divisible by the number (38) 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 3538025568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6868592640).

3538025568 is an abundant number, since it is smaller than the sum of its proper divisors (10199159712).

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

3538025568 is a wasteful number, since it uses less digits than its factorization.

3538025568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 3538025568 is about 59481.3043569154. The cubic root of 3538025568 is about 1523.7731697870.

The spelling of 3538025568 in words is "three billion, five hundred thirty-eight million, twenty-five thousand, five hundred sixty-eight".