388200384 has 224 divisors, whose sum is σ = 1341607680. Its totient is φ = 108518400.

The previous prime is 388200359. The next prime is 388200403. The reversal of 388200384 is 483002883.

It is a happy number.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246319 + ... + 247889.

It is an arithmetic number, because the mean of its divisors is an integer number (5989320).

Almost surely, 2^388200384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388200384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670803840).

388200384 is an abundant number, since it is smaller than the sum of its proper divisors (953407296).

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

388200384 is a wasteful number, since it uses less digits than its factorization.

388200384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 388200384 is about 19702.8014251781. The cubic root of 388200384 is about 729.4888421375.

The spelling of 388200384 in words is "three hundred eighty-eight million, two hundred thousand, three hundred eighty-four".