338026000 has 80 divisors (see below), whose sum is σ = 880287408. Its totient is φ = 124800000.

The previous prime is 338025983. The next prime is 338026027. The reversal of 338026000 is 620833.

It can be written as a sum of positive squares in 8 ways, for example, as 278489344 + 59536656 = 16688^2 + 7716^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×338026000² = 228523153352000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19500 + ... + 32500.

Almost surely, 2^338026000 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 338026000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440143704).

338026000 is an abundant number, since it is smaller than the sum of its proper divisors (542261408).

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

338026000 is a wasteful number, since it uses less digits than its factorization.

338026000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13037 (or 13021 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 338026000 is about 18385.4834040337. The cubic root of 338026000 is about 696.5998374066.

Adding to 338026000 its reverse (620833), we get a palindrome (338646833).

The spelling of 338026000 in words is "three hundred thirty-eight million, twenty-six thousand".