387521568 has 288 divisors, whose sum is σ = 1354429440. Its totient is φ = 102643200.

The previous prime is 387521527. The next prime is 387521581. The reversal of 387521568 is 865125783.

387521568 is a `hidden beast` number, since 3 + 87 + 5 + 2 + 1 + 568 = 666.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2566293 + ... + 2566443.

It is an arithmetic number, because the mean of its divisors is an integer number (4702880).

Almost surely, 2^387521568 is an apocalyptic number.

387521568 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 387521568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677214720).

387521568 is an abundant number, since it is smaller than the sum of its proper divisors (966907872).

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

387521568 is a wasteful number, since it uses less digits than its factorization.

387521568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 249 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 387521568 is about 19685.5675051546. The cubic root of 387521568 is about 729.0633938108.

The spelling of 387521568 in words is "three hundred eighty-seven million, five hundred twenty-one thousand, five hundred sixty-eight".