338236416 has 264 divisors, whose sum is σ = 1149595200. Its totient is φ = 95735808.

The previous prime is 338236411. The next prime is 338236417. The reversal of 338236416 is 614632833.

338236416 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 3 + 641 + 6 = 666.

It is a super-2 number, since 2×338236416² = 228807746217050112, which contains 22 as substring.

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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338236411) 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 23 ways as a sum of consecutive naturals, for example, 3161035 + ... + 3161141.

Almost surely, 2^338236416 is an apocalyptic number.

338236416 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 338236416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574797600).

338236416 is an abundant number, since it is smaller than the sum of its proper divisors (811358784).

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

338236416 is a wasteful number, since it uses less digits than its factorization.

338236416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 119 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 338236416 is about 18391.2048544950. The cubic root of 338236416 is about 696.7443483300.

The spelling of 338236416 in words is "three hundred thirty-eight million, two hundred thirty-six thousand, four hundred sixteen".