338664500 has 36 divisors (see below), whose sum is σ = 740543076. Its totient is φ = 135301200.

The previous prime is 338664481. The next prime is 338664559. The reversal of 338664500 is 5466833.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 10837264 + 327827236 = 3292^2 + 18106^2 .

It is a super-2 number, since 2×338664500² = 229387287120500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 411089 + ... + 411911.

It is an arithmetic number, because the mean of its divisors is an integer number (20570641).

Almost surely, 2^338664500 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 338664500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370271538).

338664500 is an abundant number, since it is smaller than the sum of its proper divisors (401878576).

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

338664500 is an frugal number, since it uses more digits than its factorization.

338664500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 338664500 is about 18402.8394548233. The cubic root of 338664500 is about 697.0381658595.

The spelling of 338664500 in words is "three hundred thirty-eight million, six hundred sixty-four thousand, five hundred".