338793312 has 384 divisors, whose sum is σ = 1158312960. Its totient is φ = 85155840.

The previous prime is 338793277. The next prime is 338793319. The reversal of 338793312 is 213397833.

It is a super-3 number, since 3×338793312³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (81648) is a multiple of the sum of its prime factors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338793319) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 9156558 + ... + 9156594.

It is an arithmetic number, because the mean of its divisors is an integer number (3016440).

Almost surely, 2^338793312 is an apocalyptic number.

338793312 is a gapful number since it is divisible by the number (32) 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 338793312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579156480).

338793312 is an abundant number, since it is smaller than the sum of its proper divisors (819519648).

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

338793312 is a wasteful number, since it uses less digits than its factorization.

338793312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 118 counting only the distinct ones).

The product of its digits is 81648, while the sum is 39.

The square root of 338793312 is about 18406.3389081045. The cubic root of 338793312 is about 697.1265281365.

The spelling of 338793312 in words is "three hundred thirty-eight million, seven hundred ninety-three thousand, three hundred twelve".