338700960 has 384 divisors, whose sum is σ = 1319189760. Its totient is φ = 80621568.

The previous prime is 338700953. The next prime is 338700991. The reversal of 338700960 is 69007833.

338700960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338700960² = 229436680609843200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2077839 + ... + 2078001.

It is an arithmetic number, because the mean of its divisors is an integer number (3435390).

Almost surely, 2^338700960 is an apocalyptic number.

338700960 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 338700960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659594880).

338700960 is an abundant number, since it is smaller than the sum of its proper divisors (980488800).

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

338700960 is a wasteful number, since it uses less digits than its factorization.

338700960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 338700960 is about 18403.8300361637. The cubic root of 338700960 is about 697.0631789128.

The spelling of 338700960 in words is "three hundred thirty-eight million, seven hundred thousand, nine hundred sixty".