338810496 has 64 divisors (see below), whose sum is σ = 905653920. Its totient is φ = 112223232.

The previous prime is 338810431. The next prime is 338810543. The reversal of 338810496 is 694018833.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×338810496² = 229585104399532032, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59886 + ... + 65298.

Almost surely, 2^338810496 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 338810496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452826960).

338810496 is an abundant number, since it is smaller than the sum of its proper divisors (566843424).

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

338810496 is a wasteful number, since it uses less digits than its factorization.

338810496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5593 (or 5581 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 338810496 is about 18406.8056978934. The cubic root of 338810496 is about 697.1383142996.

The spelling of 338810496 in words is "three hundred thirty-eight million, eight hundred ten thousand, four hundred ninety-six".