338640896 has 60 divisors (see below), whose sum is σ = 739223520. Its totient is φ = 153845760.

The previous prime is 338640893. The next prime is 338640947. The reversal of 338640896 is 698046833.

It is a super-2 number, since 2×338640896² = 229355312887365632, 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 338640896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338640893) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 179285 + ... + 181163.

It is an arithmetic number, because the mean of its divisors is an integer number (12320392).

Almost surely, 2^338640896 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 338640896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369611760).

338640896 is an abundant number, since it is smaller than the sum of its proper divisors (400582624).

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

338640896 is an equidigital number, since it uses as much as digits as its factorization.

338640896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 47.

The square root of 338640896 is about 18402.1981295714. The cubic root of 338640896 is about 697.0219715914.

The spelling of 338640896 in words is "three hundred thirty-eight million, six hundred forty thousand, eight hundred ninety-six".