387975168 has 288 divisors, whose sum is σ = 1335559680. Its totient is φ = 106168320.

The previous prime is 387975131. The next prime is 387975179. The reversal of 387975168 is 861579783.

387975168 is a `hidden beast` number, since 38 + 7 + 97 + 516 + 8 = 666.

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

Its product of digits (2540160) is a multiple of the sum of its prime divisors (140).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3999696 + ... + 3999792.

It is an arithmetic number, because the mean of its divisors is an integer number (4637360).

Almost surely, 2^387975168 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 387975168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667779840).

387975168 is an abundant number, since it is smaller than the sum of its proper divisors (947584512).

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

387975168 is a wasteful number, since it uses less digits than its factorization.

387975168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 140 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 387975168 is about 19697.0852666073. The cubic root of 387975168 is about 729.3477428945.

The spelling of 387975168 in words is "three hundred eighty-seven million, nine hundred seventy-five thousand, one hundred sixty-eight".