338611104 has 180 divisors, whose sum is σ = 1079736966. Its totient is φ = 104053248.

The previous prime is 338611093. The next prime is 338611159. The reversal of 338611104 is 401116833.

338611104 is a `hidden beast` number, since 3 + 38 + 611 + 10 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 84272400 + 254338704 = 9180^2 + 15948^2 .

It is a super-2 number, since 2×338611104² = 229314959504197632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 29 ways as a sum of consecutive naturals, for example, 437662 + ... + 438434.

Almost surely, 2^338611104 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 338611104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539868483).

338611104 is an abundant number, since it is smaller than the sum of its proper divisors (741125862).

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

338611104 is a wasteful number, since it uses less digits than its factorization.

338611104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 338611104 is about 18401.3886432519. The cubic root of 338611104 is about 697.0015307766.

Adding to 338611104 its reverse (401116833), we get a palindrome (739727937).

The spelling of 338611104 in words is "three hundred thirty-eight million, six hundred eleven thousand, one hundred four".