338013000 has 384 divisors, whose sum is σ = 1287861120. Its totient is φ = 82425600.

The previous prime is 338012957. The next prime is 338013001. The reversal of 338013000 is 310833.

338013000 is a nontrivial binomial coefficient, being equal to C(26001, 2).

It is a super-2 number, since 2×338013000² = 228505576338000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (338013001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3158947 + ... + 3159053.

It is an arithmetic number, because the mean of its divisors is an integer number (3353805).

Almost surely, 2^338013000 is an apocalyptic number.

338013000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

338013000 is the 26000-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643930560).

338013000 is an abundant number, since it is smaller than the sum of its proper divisors (949848120).

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

338013000 is a wasteful number, since it uses less digits than its factorization.

338013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 338013000 is about 18385.1298608413. The cubic root of 338013000 is about 696.5909072119.

Adding to 338013000 its reverse (310833), we get a palindrome (338323833).

The spelling of 338013000 in words is "three hundred thirty-eight million, thirteen thousand".