338055120 has 200 divisors, whose sum is σ = 1264747176. Its totient is φ = 83192832.

The previous prime is 338055101. The next prime is 338055131. The reversal of 338055120 is 21550833.

338055120 is a `hidden beast` number, since 33 + 80 + 551 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31945104 + 306110016 = 5652^2 + 17496^2 .

It is a super-2 number, since 2×338055120² = 228562528316428800, which contains 22 as substring.

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 82234 + ... + 86246.

Almost surely, 2^338055120 is an apocalyptic number.

338055120 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 338055120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632373588).

338055120 is an abundant number, since it is smaller than the sum of its proper divisors (926692056).

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

338055120 is a wasteful number, since it uses less digits than its factorization.

338055120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4051 (or 4036 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 338055120 is about 18386.2753161156. The cubic root of 338055120 is about 696.6198402119.

The spelling of 338055120 in words is "three hundred thirty-eight million, fifty-five thousand, one hundred twenty".