388078306560 has 1296 divisors, whose sum is σ = 1700058172176. Its totient is φ = 81155063808.

The previous prime is 388078306549. The next prime is 388078306601. The reversal of 388078306560 is 65603870883.

It is a happy number.

388078306560 is a `hidden beast` number, since 3 + 8 + 8 + 0 + 78 + 3 + 0 + 6 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 137101353984 + 250976952576 = 370272^2 + 500976^2 .

It is a junction number, because it is equal to n+sod(n) for n = 388078306497 and 388078306506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 355057374 + ... + 355058466.

It is an arithmetic number, because the mean of its divisors is an integer number (1311773281).

Almost surely, 2^388078306560 is an apocalyptic number.

388078306560 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 388078306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850029086088).

388078306560 is an abundant number, since it is smaller than the sum of its proper divisors (1311979865616).

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

388078306560 is a wasteful number, since it uses less digits than its factorization.

388078306560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 388078306560 in words is "three hundred eighty-eight billion, seventy-eight million, three hundred six thousand, five hundred sixty".