338286375 has 192 divisors, whose sum is σ = 759542784. Its totient is φ = 146966400.

The previous prime is 338286359. The next prime is 338286379. The reversal of 338286375 is 573682833.

338286375 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 8 + 637 + 5 = 666.

It is not a de Polignac number, because 338286375 - 2⁴ = 338286359 is a prime.

It is a super-2 number, since 2×338286375² = 228875343021281250, 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 338286375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338286379) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7867104 + ... + 7867146.

It is an arithmetic number, because the mean of its divisors is an integer number (3955952).

Almost surely, 2^338286375 is an apocalyptic number.

338286375 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

338286375 is an abundant number, since it is smaller than the sum of its proper divisors (421256409).

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

338286375 is an equidigital number, since it uses as much as digits as its factorization.

338286375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 95 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 338286375 is about 18392.5630350965. The cubic root of 338286375 is about 696.7786507051.

The spelling of 338286375 in words is "three hundred thirty-eight million, two hundred eighty-six thousand, three hundred seventy-five".