338088960 has 528 divisors, whose sum is σ = 1379514240. Its totient is φ = 75694080.

The previous prime is 338088923. The next prime is 338088977. The reversal of 338088960 is 69880833.

338088960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×338088960² = 228608289747763200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11658226 + ... + 11658254.

Almost surely, 2^338088960 is an apocalyptic number.

338088960 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 338088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689757120).

338088960 is an abundant number, since it is smaller than the sum of its proper divisors (1041425280).

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

338088960 is a wasteful number, since it uses less digits than its factorization.

338088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 338088960 is about 18387.1955447262. The cubic root of 338088960 is about 696.6430837872.

The spelling of 338088960 in words is "three hundred thirty-eight million, eighty-eight thousand, nine hundred sixty".