338427936 has 192 divisors, whose sum is σ = 1230888960. Its totient is φ = 87886080.

The previous prime is 338427919. The next prime is 338427967. The reversal of 338427936 is 639724833.

It is a super-2 number, since 2×338427936² = 229066935730440192, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 338427891 and 338427900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63985 + ... + 69071.

It is an arithmetic number, because the mean of its divisors is an integer number (6410880).

Almost surely, 2^338427936 is an apocalyptic number.

338427936 is a gapful number since it is divisible by the number (36) 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 338427936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615444480).

338427936 is an abundant number, since it is smaller than the sum of its proper divisors (892461024).

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

338427936 is a wasteful number, since it uses less digits than its factorization.

338427936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5124 (or 5110 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 338427936 is about 18396.4109543139. The cubic root of 338427936 is about 696.8758296383.

The spelling of 338427936 in words is "three hundred thirty-eight million, four hundred twenty-seven thousand, nine hundred thirty-six".