388629876096 has 1152 divisors, whose sum is σ = 1486521953280. Its totient is φ = 94622515200.

The previous prime is 388629876091. The next prime is 388629876199. The reversal of 388629876096 is 690678926883.

388629876096 is a `hidden beast` number, since 3 + 8 + 8 + 6 + 2 + 9 + 8 + 7 + 609 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388629876091) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 4006493520 + ... + 4006493616.

It is an arithmetic number, because the mean of its divisors is an integer number (1290383640).

Almost surely, 2^388629876096 is an apocalyptic number.

388629876096 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 388629876096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743260976640).

388629876096 is an abundant number, since it is smaller than the sum of its proper divisors (1097892077184).

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

388629876096 is a wasteful number, since it uses less digits than its factorization.

388629876096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 388629876096 in words is "three hundred eighty-eight billion, six hundred twenty-nine million, eight hundred seventy-six thousand, ninety-six".