388224900 has 360 divisors, whose sum is σ = 1482155136. Its totient is φ = 86054400.

The previous prime is 388224899. The next prime is 388224913. The reversal of 388224900 is 9422883.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2324617 + ... + 2324783.

Almost surely, 2^388224900 is an apocalyptic number.

388224900 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 388224900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741077568).

388224900 is an abundant number, since it is smaller than the sum of its proper divisors (1093930236).

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

388224900 is a wasteful number, since it uses less digits than its factorization.

388224900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 388224900 is about 19703.4235603867. The cubic root of 388224900 is about 729.5041982720.

It can be divided in two parts, 3882 and 24900, that added together give a palindrome (28782).

The spelling of 388224900 in words is "three hundred eighty-eight million, two hundred twenty-four thousand, nine hundred".