388005120 has 288 divisors, whose sum is σ = 1403001600. Its totient is φ = 101523456.

The previous prime is 388005119. The next prime is 388005133. The reversal of 388005120 is 21500883.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3559626 + ... + 3559734.

Almost surely, 2^388005120 is an apocalyptic number.

388005120 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 388005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701500800).

388005120 is an abundant number, since it is smaller than the sum of its proper divisors (1014996480).

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

388005120 is a wasteful number, since it uses less digits than its factorization.

388005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 388005120 is about 19697.8455674726. The cubic root of 388005120 is about 729.3665111587.

The spelling of 388005120 in words is "three hundred eighty-eight million, five thousand, one hundred twenty".