387514368 has 170 divisors, whose sum is σ = 1173609734. Its totient is φ = 127401984.

The previous prime is 387514363. The next prime is 387514381. The reversal of 387514368 is 863415783.

It can be written as a sum of positive squares in only one way, i.e., 339738624 + 47775744 = 18432^2 + 6912^2 .

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (387514363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5308380 + ... + 5308452.

Almost surely, 2^387514368 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 387514368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586804867).

387514368 is an abundant number, since it is smaller than the sum of its proper divisors (786095366).

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

387514368 is an frugal number, since it uses more digits than its factorization.

387514368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 78 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 387514368 is about 19685.3846292116. The cubic root of 387514368 is about 729.0588785448.

The spelling of 387514368 in words is "three hundred eighty-seven million, five hundred fourteen thousand, three hundred sixty-eight".