338630800 has 30 divisors (see below), whose sum is σ = 813561458. Its totient is φ = 135452160.

The previous prime is 338630791. The next prime is 338630801. The reversal of 338630800 is 8036833.

It can be written as a sum of positive squares in 3 ways, for example, as 659344 + 337971456 = 812^2 + 18384^2 .

It is a super-2 number, since 2×338630800² = 229341637417280000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338630801) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 422889 + ... + 423688.

Almost surely, 2^338630800 is an apocalyptic number.

It is an amenable number.

338630800 is an abundant number, since it is smaller than the sum of its proper divisors (474930658).

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

338630800 is a wasteful number, since it uses less digits than its factorization.

338630800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846595 (or 846584 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 338630800 is about 18401.9238124713. The cubic root of 338630800 is about 697.0150446827.

The spelling of 338630800 in words is "three hundred thirty-eight million, six hundred thirty thousand, eight hundred".