388864320 has 112 divisors (see below), whose sum is σ = 1329659520. Its totient is φ = 95717376.

The previous prime is 388864319. The next prime is 388864321. The reversal of 388864320 is 23468883.

It is an interprime number because it is at equal distance from previous prime (388864319) and next prime (388864321).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388864321) 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, 3100 + ... + 28059.

It is an arithmetic number, because the mean of its divisors is an integer number (11871960).

Almost surely, 2^388864320 is an apocalyptic number.

388864320 is a gapful number since it is divisible by the number (30) 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 388864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664829760).

388864320 is an abundant number, since it is smaller than the sum of its proper divisors (940795200).

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

388864320 is a wasteful number, since it uses less digits than its factorization.

388864320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31192 (or 31182 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 388864320 is about 19719.6429987969. The cubic root of 388864320 is about 729.9044849072.

The spelling of 388864320 in words is "three hundred eighty-eight million, eight hundred sixty-four thousand, three hundred twenty".