388484100 has 189 divisors, whose sum is σ = 1281488943. Its totient is φ = 102176640.

The previous prime is 388484081. The next prime is 388484111. The reversal of 388484100 is 1484883.

The square root of 388484100 is 19710.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2125764 + 386358336 = 1458^2 + 19656^2 .

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

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 5321664 + ... + 5321736.

Almost surely, 2^388484100 is an apocalyptic number.

388484100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

388484100 is the 19710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388484100

388484100 is an abundant number, since it is smaller than the sum of its proper divisors (893004843).

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

388484100 is an equidigital number, since it uses as much as digits as its factorization.

388484100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 83 counting only the distinct ones).

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

The cubic root of 388484100 is about 729.6665143437. Note that the first 3 decimals are identical.

Multiplying 388484100 by its sum of digits (36), we get a square (13985427600 = 118260²).

388484100 divided by its sum of digits (36) gives a square (10791225 = 3285²).

The spelling of 388484100 in words is "three hundred eighty-eight million, four hundred eighty-four thousand, one hundred".