338992416 has 72 divisors (see below), whose sum is σ = 1101731904. Its totient is φ = 96854400.

The previous prime is 338992373. The next prime is 338992417. The reversal of 338992416 is 614299833.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×338992416² = 229831716211034112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (338992417) 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 11 ways as a sum of consecutive naturals, for example, 82060 + ... + 86091.

It is an arithmetic number, because the mean of its divisors is an integer number (15301832).

Almost surely, 2^338992416 is an apocalyptic number.

338992416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

338992416 is an abundant number, since it is smaller than the sum of its proper divisors (762739488).

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

338992416 is a wasteful number, since it uses less digits than its factorization.

338992416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168174 (or 168163 counting only the distinct ones).

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

The square root of 338992416 is about 18411.7466852007. The cubic root of 338992416 is about 697.2630651674.

It can be divided in two parts, 33899 and 2416, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 338992416 in words is "three hundred thirty-eight million, nine hundred ninety-two thousand, four hundred sixteen".