388904320 has 128 divisors (see below), whose sum is σ = 1085736960. Its totient is φ = 130430976.

The previous prime is 388904317. The next prime is 388904333. The reversal of 388904320 is 23409883.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×388904320³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 388904320.

It is a congruent number.

It is an unprimeable number.

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, 209637 + ... + 211483.

It is an arithmetic number, because the mean of its divisors is an integer number (8482320).

Almost surely, 2^388904320 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 388904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542868480).

388904320 is an abundant number, since it is smaller than the sum of its proper divisors (696832640).

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

388904320 is a wasteful number, since it uses less digits than its factorization.

388904320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 388904320 is about 19720.6571898606. The cubic root of 388904320 is about 729.9295109269.

The spelling of 388904320 in words is "three hundred eighty-eight million, nine hundred four thousand, three hundred twenty".