388875120 has 80 divisors (see below), whose sum is σ = 1208092320. Its totient is φ = 103478272.

The previous prime is 388875107. The next prime is 388875127. The reversal of 388875120 is 21578883.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388875127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132226 + ... + 135134.

It is an arithmetic number, because the mean of its divisors is an integer number (15101154).

Almost surely, 2^388875120 is an apocalyptic number.

388875120 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 388875120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604046160).

388875120 is an abundant number, since it is smaller than the sum of its proper divisors (819217200).

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

388875120 is a wasteful number, since it uses less digits than its factorization.

388875120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3482 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 388875120 is about 19719.9168355244. The cubic root of 388875120 is about 729.9112421017.

The spelling of 388875120 in words is "three hundred eighty-eight million, eight hundred seventy-five thousand, one hundred twenty".