387111168 has 216 divisors, whose sum is σ = 1211683200. Its totient is φ = 118444032.

The previous prime is 387111143. The next prime is 387111209. The reversal of 387111168 is 861111783.

It is a happy number.

387111168 is a `hidden beast` number, since 387 + 111 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 1619593 + ... + 1619831.

Almost surely, 2^387111168 is an apocalyptic number.

387111168 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 387111168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605841600).

387111168 is an abundant number, since it is smaller than the sum of its proper divisors (824572032).

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

387111168 is a wasteful number, since it uses less digits than its factorization.

387111168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 300 counting only the distinct ones).

The product of its digits is 8064, while the sum is 36.

The square root of 387111168 is about 19675.1408635364. The cubic root of 387111168 is about 728.8059343318.

The spelling of 387111168 in words is "three hundred eighty-seven million, one hundred eleven thousand, one hundred sixty-eight".