338113776 has 320 divisors, whose sum is σ = 1215922176. Its totient is φ = 78105600.

The previous prime is 338113771. The next prime is 338113793. The reversal of 338113776 is 677311833.

It is a super-2 number, since 2×338113776² = 228641851041956352, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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

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

Its product of digits (63504) is a multiple of the sum of its prime divisors (294).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338113771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1489375 + ... + 1489601.

Almost surely, 2^338113776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338113776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607961088).

338113776 is an abundant number, since it is smaller than the sum of its proper divisors (877808400).

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

338113776 is a wasteful number, since it uses less digits than its factorization.

338113776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 294 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 338113776 is about 18387.8703497713. The cubic root of 338113776 is about 696.6601280900.

The spelling of 338113776 in words is "three hundred thirty-eight million, one hundred thirteen thousand, seven hundred seventy-six".