338480000 has 80 divisors (see below), whose sum is σ = 842823960. Its totient is φ = 135360000.

The previous prime is 338479993. The next prime is 338480017. The reversal of 338480000 is 84833.

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

It is a super-2 number, since 2×338480000² = 229137420800000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 77885 + ... + 82115.

Almost surely, 2^338480000 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 338480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421411980).

338480000 is an abundant number, since it is smaller than the sum of its proper divisors (504343960).

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

338480000 is an frugal number, since it uses more digits than its factorization.

338480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4265 (or 4238 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 338480000 is about 18397.8259585202. The cubic root of 338480000 is about 696.9115637676.

The spelling of 338480000 in words is "three hundred thirty-eight million, four hundred eighty thousand".