388208748096 has 189 divisors, whose sum is σ = 1205512784931. Its totient is φ = 119389031424.

The previous prime is 388208748061. The next prime is 388208748097. The reversal of 388208748096 is 690847802883.

The square root of 388208748096 is 623064.

It is a perfect power (a square), and thus also a powerful number.

388208748096 is a `hidden beast` number, since 388 + 20 + 8 + 74 + 80 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 281044178496 + 107164569600 = 530136^2 + 327360^2 .

It is not an unprimeable number, because it can be changed into a prime (388208748097) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 194394970 + ... + 194396966.

Almost surely, 2^388208748096 is an apocalyptic number.

388208748096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

388208748096 is the 623064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388208748096

388208748096 is an abundant number, since it is smaller than the sum of its proper divisors (817304036835).

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

388208748096 is an equidigital number, since it uses as much as digits as its factorization.

388208748096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4038 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 388208748096 in words is "three hundred eighty-eight billion, two hundred eight million, seven hundred forty-eight thousand, ninety-six".