338337216 has 224 divisors, whose sum is σ = 1153850880. Its totient is φ = 95219712.

The previous prime is 338337187. The next prime is 338337217. The reversal of 338337216 is 612733833.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×338337216² = 228944143461261312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (54432) is a multiple of the sum of its prime divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338337217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1003800 + ... + 1004136.

It is an arithmetic number, because the mean of its divisors is an integer number (5151120).

Almost surely, 2^338337216 is an apocalyptic number.

338337216 is a gapful number since it is divisible by the number (36) 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 338337216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576925440).

338337216 is an abundant number, since it is smaller than the sum of its proper divisors (815513664).

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

338337216 is a wasteful number, since it uses less digits than its factorization.

338337216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 432 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 338337216 is about 18393.9450907085. The cubic root of 338337216 is about 696.8135552037.

The spelling of 338337216 in words is "three hundred thirty-eight million, three hundred thirty-seven thousand, two hundred sixteen".