387586368 has 168 divisors, whose sum is σ = 1207105536. Its totient is φ = 118195200.

The previous prime is 387586361. The next prime is 387586411. The reversal of 387586368 is 863685783.

It is a happy number.

Its product of digits (5806080) is a multiple of the sum of its prime divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387586361) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1430073 + ... + 1430343.

It is an arithmetic number, because the mean of its divisors is an integer number (7185152).

Almost surely, 2^387586368 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 387586368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603552768).

387586368 is an abundant number, since it is smaller than the sum of its proper divisors (819519168).

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

387586368 is a wasteful number, since it uses less digits than its factorization.

387586368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 480 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 387586368 is about 19687.2133121984. The cubic root of 387586368 is about 729.1040286888.

The spelling of 387586368 in words is "three hundred eighty-seven million, five hundred eighty-six thousand, three hundred sixty-eight".