338100100 has 72 divisors (see below), whose sum is σ = 793768640. Its totient is φ = 124260480.

The previous prime is 338100073. The next prime is 338100101. The reversal of 338100100 is 1001833.

It is a super-2 number, since 2×338100100² = 228623355240020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338100101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 367441 + ... + 368359.

Almost surely, 2^338100100 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 338100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396884320).

338100100 is an abundant number, since it is smaller than the sum of its proper divisors (455668540).

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

338100100 is a wasteful number, since it uses less digits than its factorization.

338100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 338100100 is about 18387.4984704282. The cubic root of 338100100 is about 696.6507351449.

Adding to 338100100 its reverse (1001833), we get a palindrome (339101933).

The spelling of 338100100 in words is "three hundred thirty-eight million, one hundred thousand, one hundred".