338666010 has 96 divisors (see below), whose sum is σ = 890554176. Its totient is φ = 82137600.

The previous prime is 338665997. The next prime is 338666033. The reversal of 338666010 is 10666833.

338666010 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 2×338666010² = 229389332658640200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 489765 + ... + 490455.

It is an arithmetic number, because the mean of its divisors is an integer number (9276606).

Almost surely, 2^338666010 is an apocalyptic number.

338666010 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 338666010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445277088).

338666010 is an abundant number, since it is smaller than the sum of its proper divisors (551888166).

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

338666010 is a wasteful number, since it uses less digits than its factorization.

338666010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 338666010 is about 18402.8804810551. The cubic root of 338666010 is about 697.0392018170.

It can be divided in two parts, 3386 and 66010, that added together give a palindrome (69396).

The spelling of 338666010 in words is "three hundred thirty-eight million, six hundred sixty-six thousand, ten".