388844100 has 108 divisors (see below), whose sum is σ = 1251858244. Its totient is φ = 100880640.

The previous prime is 388844087. The next prime is 388844107. The reversal of 388844100 is 1448883.

It can be written as a sum of positive squares in 6 ways, for example, as 30272004 + 358572096 = 5502^2 + 18936^2 .

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

It is not an unprimeable number, because it can be changed into a prime (388844107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27462 + ... + 39138.

Almost surely, 2^388844100 is an apocalyptic number.

388844100 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 388844100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625929122).

388844100 is an abundant number, since it is smaller than the sum of its proper divisors (863014144).

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

388844100 is a wasteful number, since it uses less digits than its factorization.

388844100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11734 (or 11724 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 388844100 is about 19719.1303053659. The cubic root of 388844100 is about 729.8918336013.

The spelling of 388844100 in words is "three hundred eighty-eight million, eight hundred forty-four thousand, one hundred".