338703120 has 480 divisors, whose sum is σ = 1429908480. Its totient is φ = 72783360.

The previous prime is 338703097. The next prime is 338703133. The reversal of 338703120 is 21307833.

338703120 = 1841² + 1842² + ... + 1935².

It is a super-2 number, since 2×338703120² = 229439606995468800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2585455 + ... + 2585585.

It is an arithmetic number, because the mean of its divisors is an integer number (2978976).

Almost surely, 2^338703120 is an apocalyptic number.

338703120 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 338703120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714954240).

338703120 is an abundant number, since it is smaller than the sum of its proper divisors (1091205360).

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

338703120 is a wasteful number, since it uses less digits than its factorization.

338703120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 338703120 is about 18403.8887195071. Note that the first 3 decimals coincide. The cubic root of 338703120 is about 697.0646607050.

The spelling of 338703120 in words is "three hundred thirty-eight million, seven hundred three thousand, one hundred twenty".