338840775 has 216 divisors, whose sum is σ = 802389120. Its totient is φ = 133436160.

The previous prime is 338840773. The next prime is 338840797. The reversal of 338840775 is 577048833.

It is not a de Polignac number, because 338840775 - 2¹ = 338840773 is a prime.

It is a super-2 number, since 2×338840775² = 229626141605201250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 338840775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338840773) 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 215 ways as a sum of consecutive naturals, for example, 5057292 + ... + 5057358.

Almost surely, 2^338840775 is an apocalyptic number.

338840775 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

338840775 is an abundant number, since it is smaller than the sum of its proper divisors (463548345).

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

338840775 is a wasteful number, since it uses less digits than its factorization.

338840775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 338840775 is about 18407.6281742108. The cubic root of 338840775 is about 697.1590810925.

The spelling of 338840775 in words is "three hundred thirty-eight million, eight hundred forty thousand, seven hundred seventy-five".