338116100 has 72 divisors (see below), whose sum is σ = 875027328. Its totient is φ = 110880000.

The previous prime is 338116067. The next prime is 338116151. The reversal of 338116100 is 1611833.

It is a super-2 number, since 2×338116100² = 228644994158420000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5600 + ... + 26600.

Almost surely, 2^338116100 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 338116100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437513664).

338116100 is an abundant number, since it is smaller than the sum of its proper divisors (536911228).

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

338116100 is a wasteful number, since it uses less digits than its factorization.

338116100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21045 (or 21038 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 338116100 is about 18387.9335434953. The cubic root of 338116100 is about 696.6617242336.

Adding to 338116100 its reverse (1611833), we get a palindrome (339727933).

The spelling of 338116100 in words is "three hundred thirty-eight million, one hundred sixteen thousand, one hundred".