338383136 has 96 divisors (see below), whose sum is σ = 848413440. Its totient is φ = 129217536.

The previous prime is 338383117. The next prime is 338383139. The reversal of 338383136 is 631383833.

It is a super-2 number, since 2×338383136² = 229006293458388992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 338383136.

It is not an unprimeable number, because it can be changed into a prime (338383139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82445 + ... + 86451.

It is an arithmetic number, because the mean of its divisors is an integer number (8837640).

Almost surely, 2^338383136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338383136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424206720).

338383136 is an abundant number, since it is smaller than the sum of its proper divisors (510030304).

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

338383136 is a wasteful number, since it uses less digits than its factorization.

338383136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4066 (or 4058 counting only the distinct ones).

The product of its digits is 93312, while the sum is 38.

The square root of 338383136 is about 18395.1932852036. The cubic root of 338383136 is about 696.8450782222.

The spelling of 338383136 in words is "three hundred thirty-eight million, three hundred eighty-three thousand, one hundred thirty-six".