388188864 has 168 divisors, whose sum is σ = 1301780480. Its totient is φ = 108283392.

The previous prime is 388188817. The next prime is 388188869. The reversal of 388188864 is 468881883.

388188864 is a `hidden beast` number, since 388 + 188 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×388188864² = 301381188267220992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 388188864.

It is not an unprimeable number, because it can be changed into a prime (388188869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172257 + ... + 174495.

Almost surely, 2^388188864 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 388188864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650890240).

388188864 is an abundant number, since it is smaller than the sum of its proper divisors (913591616).

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

388188864 is a wasteful number, since it uses less digits than its factorization.

388188864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307 (or 2294 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The square root of 388188864 is about 19702.5090787950. The cubic root of 388188864 is about 729.4816261094.

The spelling of 388188864 in words is "three hundred eighty-eight million, one hundred eighty-eight thousand, eight hundred sixty-four".