388419334344 has 80 divisors (see below), whose sum is σ = 1088708474700. Its totient is φ = 129380917248.

The previous prime is 388419334309. The next prime is 388419334361. The reversal of 388419334344 is 443433914883.

It is a happy number.

388419334344 is a `hidden beast` number, since 3 + 8 + 84 + 193 + 34 + 344 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 301223150244 + 87196184100 = 548838^2 + 295290^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 700324 + ... + 1125740.

Almost surely, 2^388419334344 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 388419334344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544354237350).

388419334344 is an abundant number, since it is smaller than the sum of its proper divisors (700289140356).

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

388419334344 is a wasteful number, since it uses less digits than its factorization.

388419334344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426844 (or 426831 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 388419334344 in words is "three hundred eighty-eight billion, four hundred nineteen million, three hundred thirty-four thousand, three hundred forty-four".