387606941568 has 576 divisors, whose sum is σ = 1437224031360. Its totient is φ = 97408051200.

The previous prime is 387606941551. The next prime is 387606941569. The reversal of 387606941568 is 865149606783.

387606941568 is a `hidden beast` number, since 3 + 8 + 7 + 6 + 0 + 69 + 4 + 1 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387606941569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 85242271 + ... + 85246817.

It is an arithmetic number, because the mean of its divisors is an integer number (2495180610).

Almost surely, 2^387606941568 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 387606941568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718612015680).

387606941568 is an abundant number, since it is smaller than the sum of its proper divisors (1049617089792).

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

387606941568 is a wasteful number, since it uses less digits than its factorization.

387606941568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4647 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 387606941568 in words is "three hundred eighty-seven billion, six hundred six million, nine hundred forty-one thousand, five hundred sixty-eight".