388555646976 has 672 divisors, whose sum is σ = 1410210285120. Its totient is φ = 104485552128.

The previous prime is 388555646939. The next prime is 388555646987. The reversal of 388555646976 is 679646555883.

388555646976 is a `hidden beast` number, since 3 + 8 + 8 + 5 + 556 + 4 + 69 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 22856214520 + ... + 22856214536.

It is an arithmetic number, because the mean of its divisors is an integer number (2098527210).

Almost surely, 2^388555646976 is an apocalyptic number.

388555646976 is a gapful number since it is divisible by the number (36) 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 388555646976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705105142560).

388555646976 is an abundant number, since it is smaller than the sum of its proper divisors (1021654638144).

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

388555646976 is an frugal number, since it uses more digits than its factorization.

388555646976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 29 counting only the distinct ones).

The product of its digits is 1306368000, while the sum is 72.

The spelling of 388555646976 in words is "three hundred eighty-eight billion, five hundred fifty-five million, six hundred forty-six thousand, nine hundred seventy-six".