338335290 has 96 divisors (see below), whose sum is σ = 930908160. Its totient is φ = 85079808.

The previous prime is 338335253. The next prime is 338335301. The reversal of 338335290 is 92533833.

338335290 is a `hidden beast` number, since 3 + 38 + 335 + 290 = 666.

It is a super-2 number, since 2×338335290² = 228941536918768200, which contains 22 as substring.

It is a Curzon number.

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, 149991 + ... + 152229.

It is an arithmetic number, because the mean of its divisors is an integer number (9696960).

Almost surely, 2^338335290 is an apocalyptic number.

338335290 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 338335290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465454080).

338335290 is an abundant number, since it is smaller than the sum of its proper divisors (592572870).

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

338335290 is a wasteful number, since it uses less digits than its factorization.

338335290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 338335290 is about 18393.8927364492. The cubic root of 338335290 is about 696.8122329869.

The spelling of 338335290 in words is "three hundred thirty-eight million, three hundred thirty-five thousand, two hundred ninety".