388776960 has 528 divisors, whose sum is σ = 1609433280. Its totient is φ = 85524480.

The previous prime is 388776943. The next prime is 388776989. The reversal of 388776960 is 69677883.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×388776960² = 302295049253683200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 388776897 and 388776906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6589411 + ... + 6589469.

Almost surely, 2^388776960 is an apocalyptic number.

388776960 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 388776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804716640).

388776960 is an abundant number, since it is smaller than the sum of its proper divisors (1220656320).

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

388776960 is a wasteful number, since it uses less digits than its factorization.

388776960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 388776960 is about 19717.4278241357. The cubic root of 388776960 is about 729.8498221126.

The spelling of 388776960 in words is "three hundred eighty-eight million, seven hundred seventy-six thousand, nine hundred sixty".