388845312 has 144 divisors (see below), whose sum is σ = 1084775328. Its totient is φ = 123535360.

The previous prime is 388845299. The next prime is 388845313. The reversal of 388845312 is 213548883.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388845313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1668748 + ... + 1668980.

It is an arithmetic number, because the mean of its divisors is an integer number (7533162).

Almost surely, 2^388845312 is an apocalyptic number.

388845312 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 388845312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542387664).

388845312 is an abundant number, since it is smaller than the sum of its proper divisors (695930016).

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

388845312 is a wasteful number, since it uses less digits than its factorization.

388845312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 332 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 388845312 is about 19719.1610369204. The cubic root of 388845312 is about 729.8925919412.

The spelling of 388845312 in words is "three hundred eighty-eight million, eight hundred forty-five thousand, three hundred twelve".