388437120 has 320 divisors, whose sum is σ = 1421798400. Its totient is φ = 101025792.

The previous prime is 388437113. The next prime is 388437167. The reversal of 388437120 is 21734883.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 3058497 + ... + 3058623.

It is an arithmetic number, because the mean of its divisors is an integer number (4443120).

Almost surely, 2^388437120 is an apocalyptic number.

388437120 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 388437120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710899200).

388437120 is an abundant number, since it is smaller than the sum of its proper divisors (1033361280).

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

388437120 is a wasteful number, since it uses less digits than its factorization.

388437120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 388437120 is about 19708.8081831449. The cubic root of 388437120 is about 729.6370999140.

The spelling of 388437120 in words is "three hundred eighty-eight million, four hundred thirty-seven thousand, one hundred twenty".