338385120 has 96 divisors (see below), whose sum is σ = 1078025760. Its totient is φ = 89222144.

The previous prime is 338385071. The next prime is 338385161. The reversal of 338385120 is 21583833.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×338385120² = 229008978874828800, which contains 22 as substring.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 890 × 534 × 712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3802036 + ... + 3802124.

It is an arithmetic number, because the mean of its divisors is an integer number (11229435).

Almost surely, 2^338385120 is an apocalyptic number.

338385120 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 338385120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539012880).

338385120 is an abundant number, since it is smaller than the sum of its proper divisors (739640640).

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

338385120 is an frugal number, since it uses more digits than its factorization.

338385120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 338385120 is about 18395.2472122557. The cubic root of 338385120 is about 696.8464401281.

The spelling of 338385120 in words is "three hundred thirty-eight million, three hundred eighty-five thousand, one hundred twenty".