388668672 has 288 divisors, whose sum is σ = 1363756800. Its totient is φ = 106831872.

The previous prime is 388668629. The next prime is 388668673. The reversal of 388668672 is 276866883.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388668673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1402998 + ... + 1403274.

Almost surely, 2^388668672 is an apocalyptic number.

388668672 is a gapful number since it is divisible by the number (32) 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 388668672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681878400).

388668672 is an abundant number, since it is smaller than the sum of its proper divisors (975088128).

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

388668672 is a wasteful number, since it uses less digits than its factorization.

388668672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 318 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 388668672 is about 19714.6816357759. The cubic root of 388668672 is about 729.7820529076.

The spelling of 388668672 in words is "three hundred eighty-eight million, six hundred sixty-eight thousand, six hundred seventy-two".