338093280 has 288 divisors, whose sum is σ = 1396833984. Its totient is φ = 72695808.

The previous prime is 338093269. The next prime is 338093291. The reversal of 338093280 is 82390833.

338093280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (338093269) and next prime (338093291).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×338093280² = 228614131962316800, which contains 22 as substring.

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

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, 170374 + ... + 172346.

It is an arithmetic number, because the mean of its divisors is an integer number (4850118).

Almost surely, 2^338093280 is an apocalyptic number.

338093280 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 338093280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698416992).

338093280 is an abundant number, since it is smaller than the sum of its proper divisors (1058740704).

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

338093280 is a wasteful number, since it uses less digits than its factorization.

338093280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 338093280 is about 18387.3130174041. The cubic root of 338093280 is about 696.6460509405.

The spelling of 338093280 in words is "three hundred thirty-eight million, ninety-three thousand, two hundred eighty".