338563100 has 36 divisors (see below), whose sum is σ = 735906024. Its totient is φ = 135199680.

The previous prime is 338563079. The next prime is 338563103. The reversal of 338563100 is 1365833.

338563100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338563100² = 229249945363220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338563103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65822 + ... + 70778.

It is an arithmetic number, because the mean of its divisors is an integer number (20441834).

Almost surely, 2^338563100 is an apocalyptic number.

It is an amenable number.

338563100 is an abundant number, since it is smaller than the sum of its proper divisors (397342924).

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

338563100 is a wasteful number, since it uses less digits than its factorization.

338563100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5654 (or 5647 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 338563100 is about 18400.0842389376. The cubic root of 338563100 is about 696.9685918659.

The spelling of 338563100 in words is "three hundred thirty-eight million, five hundred sixty-three thousand, one hundred".