386668404200 has 96 divisors (see below), whose sum is σ = 968961654360. Its totient is φ = 142651392000.

The previous prime is 386668404197. The next prime is 386668404229. The reversal of 386668404200 is 2404866683.

It can be written as a sum of positive squares in 12 ways, for example, as 35353776676 + 351314627524 = 188026^2 + 592718^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3103100 + ... + 3225300.

Almost surely, 2^386668404200 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 386668404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484480827180).

386668404200 is an abundant number, since it is smaller than the sum of its proper divisors (582293250160).

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

386668404200 is a wasteful number, since it uses less digits than its factorization.

386668404200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123447 (or 123438 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 47.

The spelling of 386668404200 in words is "three hundred eighty-six billion, six hundred sixty-eight million, four hundred four thousand, two hundred".