338140320 has 192 divisors, whose sum is σ = 1226969856. Its totient is φ = 76677120.

The previous prime is 338140291. The next prime is 338140331. The reversal of 338140320 is 23041833.

It is a super-2 number, since 2×338140320² = 228677752019404800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 527200 + ... + 527840.

It is an arithmetic number, because the mean of its divisors is an integer number (6390468).

Almost surely, 2^338140320 is an apocalyptic number.

338140320 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 338140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613484928).

338140320 is an abundant number, since it is smaller than the sum of its proper divisors (888829536).

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

338140320 is a wasteful number, since it uses less digits than its factorization.

338140320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 338140320 is about 18388.5921157657. The cubic root of 338140320 is about 696.6783583070.

The spelling of 338140320 in words is "three hundred thirty-eight million, one hundred forty thousand, three hundred twenty".