338095296 has 420 divisors, whose sum is σ = 1282345416. Its totient is φ = 87816960.

The previous prime is 338095267. The next prime is 338095297. The reversal of 338095296 is 692590833.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×338095296² = 228616858354655232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338095297) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 30735931 + ... + 30735941.

Almost surely, 2^338095296 is an apocalyptic number.

338095296 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 338095296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641172708).

338095296 is an abundant number, since it is smaller than the sum of its proper divisors (944250120).

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

338095296 is an equidigital number, since it uses as much as digits as its factorization.

338095296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 338095296 is about 18387.3678377303. The cubic root of 338095296 is about 696.6474356033.

The spelling of 338095296 in words is "three hundred thirty-eight million, ninety-five thousand, two hundred ninety-six".