338347296 has 144 divisors (see below), whose sum is σ = 1147595904. Its totient is φ = 92454912.

The previous prime is 338347291. The next prime is 338347301. The reversal of 338347296 is 692743833.

It is an interprime number because it is at equal distance from previous prime (338347291) and next prime (338347301).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×338347296² = 228957785421023232, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (338347291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42720 + ... + 50016.

It is an arithmetic number, because the mean of its divisors is an integer number (7969416).

Almost surely, 2^338347296 is an apocalyptic number.

338347296 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 338347296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573797952).

338347296 is an abundant number, since it is smaller than the sum of its proper divisors (809248608).

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

338347296 is a wasteful number, since it uses less digits than its factorization.

338347296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7343 (or 7332 counting only the distinct ones).

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

The square root of 338347296 is about 18394.2190918778. The cubic root of 338347296 is about 696.8204751350.

The spelling of 338347296 in words is "three hundred thirty-eight million, three hundred forty-seven thousand, two hundred ninety-six".