338694912 has 144 divisors (see below), whose sum is σ = 1054704000. Its totient is φ = 106914816.

The previous prime is 338694907. The next prime is 338694913. The reversal of 338694912 is 219496833.

It is a happy number.

338694912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×338694912² = 229428486829375488, 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 (338694913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130039 + ... + 132617.

Almost surely, 2^338694912 is an apocalyptic number.

338694912 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 338694912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527352000).

338694912 is an abundant number, since it is smaller than the sum of its proper divisors (716009088).

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

338694912 is a wasteful number, since it uses less digits than its factorization.

338694912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623 (or 2603 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 338694912 is about 18403.6657218066. The cubic root of 338694912 is about 697.0590298613.

It can be divided in two parts, 33869 and 4912, that added together give a triangular number (38781 = T₂₇₈).

The spelling of 338694912 in words is "three hundred thirty-eight million, six hundred ninety-four thousand, nine hundred twelve".