388371984 has 320 divisors, whose sum is σ = 1379911680. Its totient is φ = 90869760.

The previous prime is 388371961. The next prime is 388372003. The reversal of 388371984 is 489173883.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2834764 + ... + 2834900.

It is an arithmetic number, because the mean of its divisors is an integer number (4312224).

Almost surely, 2^388371984 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 388371984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689955840).

388371984 is an abundant number, since it is smaller than the sum of its proper divisors (991539696).

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

388371984 is a wasteful number, since it uses less digits than its factorization.

388371984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 232 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 388371984 is about 19707.1556547362. The cubic root of 388371984 is about 729.5963139915.

The spelling of 388371984 in words is "three hundred eighty-eight million, three hundred seventy-one thousand, nine hundred eighty-four".