388638768 has 160 divisors (see below), whose sum is σ = 1279203840. Its totient is φ = 98979840.

The previous prime is 388638763. The next prime is 388638779. The reversal of 388638768 is 867836883.

It is a Harshad number since it is a multiple of its sum of digits (57).

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

It is not an unprimeable number, because it can be changed into a prime (388638763) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 106738 + ... + 110318.

It is an arithmetic number, because the mean of its divisors is an integer number (7995024).

Almost surely, 2^388638768 is an apocalyptic number.

388638768 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 388638768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639601920).

388638768 is an abundant number, since it is smaller than the sum of its proper divisors (890565072).

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

388638768 is a wasteful number, since it uses less digits than its factorization.

388638768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3635 (or 3629 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 57.

The square root of 388638768 is about 19713.9232016359. The cubic root of 388638768 is about 729.7633360554.

The spelling of 388638768 in words is "three hundred eighty-eight million, six hundred thirty-eight thousand, seven hundred sixty-eight".