388681224 has 64 divisors (see below), whose sum is σ = 1022077440. Its totient is φ = 123002880.

The previous prime is 388681219. The next prime is 388681253. The reversal of 388681224 is 422186883.

It is a happy number.

It is a Cunningham number, because it is equal to 19715²-1.

It is a super-3 number, since 3×388681224³ (a number of 27 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 34504 + ... + 44360.

It is an arithmetic number, because the mean of its divisors is an integer number (15969960).

Almost surely, 2^388681224 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 388681224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511038720).

388681224 is an abundant number, since it is smaller than the sum of its proper divisors (633396216).

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

388681224 is a wasteful number, since it uses less digits than its factorization.

388681224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9950 (or 9946 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 388681224 is about 19714.9999746386. Note that the first 4 decimals coincide. The cubic root of 388681224 is about 729.7899088925.

The spelling of 388681224 in words is "three hundred eighty-eight million, six hundred eighty-one thousand, two hundred twenty-four".