338731296 has 96 divisors (see below), whose sum is σ = 939552768. Its totient is φ = 106686720.

The previous prime is 338731249. The next prime is 338731313. The reversal of 338731296 is 692137833.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×338731296² = 229477781779679232, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126645 + ... + 129291.

It is an arithmetic number, because the mean of its divisors is an integer number (9787008).

Almost surely, 2^338731296 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 338731296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469776384).

338731296 is an abundant number, since it is smaller than the sum of its proper divisors (600821472).

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

338731296 is a wasteful number, since it uses less digits than its factorization.

338731296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2726 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 338731296 is about 18404.6541939804. The cubic root of 338731296 is about 697.0839892832.

The spelling of 338731296 in words is "three hundred thirty-eight million, seven hundred thirty-one thousand, two hundred ninety-six".