338612256 has 288 divisors, whose sum is σ = 1109541888. Its totient is φ = 97320960.

The previous prime is 338612227. The next prime is 338612257. The reversal of 338612256 is 652216833.

It is a happy number.

338612256 is a `hidden beast` number, since 3 + 38 + 612 + 2 + 5 + 6 = 666.

338612256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×338612256² = 229316519826819072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 338612256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338612257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3490800 + ... + 3490896.

It is an arithmetic number, because the mean of its divisors is an integer number (3852576).

Almost surely, 2^338612256 is an apocalyptic number.

338612256 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 338612256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554770944).

338612256 is an abundant number, since it is smaller than the sum of its proper divisors (770929632).

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

338612256 is a wasteful number, since it uses less digits than its factorization.

338612256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 338612256 is about 18401.4199452107. The cubic root of 338612256 is about 697.0023212063.

The spelling of 338612256 in words is "three hundred thirty-eight million, six hundred twelve thousand, two hundred fifty-six".