338302720 has 144 divisors (see below), whose sum is σ = 981021888. Its totient is φ = 109117440.

The previous prime is 338302697. The next prime is 338302747. The reversal of 338302720 is 27203833.

338302720 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 2×338302720² = 228897460718796800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 151210 + ... + 153430.

It is an arithmetic number, because the mean of its divisors is an integer number (6812652).

Almost surely, 2^338302720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338302720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490510944).

338302720 is an abundant number, since it is smaller than the sum of its proper divisors (642719168).

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

338302720 is a wasteful number, since it uses less digits than its factorization.

338302720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 338302720 is about 18393.0073669316. The cubic root of 338302720 is about 696.7898726209.

The spelling of 338302720 in words is "three hundred thirty-eight million, three hundred two thousand, seven hundred twenty".