338083830 has 144 divisors (see below), whose sum is σ = 1055942784. Its totient is φ = 74753280.

The previous prime is 338083829. The next prime is 338083871. The reversal of 338083830 is 38380833.

It is a super-2 number, since 2×338083830² = 228601352214937800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 135474 + ... + 137946.

It is an arithmetic number, because the mean of its divisors is an integer number (7332936).

Almost surely, 2^338083830 is an apocalyptic number.

338083830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 338083830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527971392).

338083830 is an abundant number, since it is smaller than the sum of its proper divisors (717858954).

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

338083830 is a wasteful number, since it uses less digits than its factorization.

338083830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 338083830 is about 18387.0560449464. The cubic root of 338083830 is about 696.6395602598.

The spelling of 338083830 in words is "three hundred thirty-eight million, eighty-three thousand, eight hundred thirty".