386007868800 has 288 divisors, whose sum is σ = 1378192102560. Its totient is φ = 102873600000.

The previous prime is 386007868759. The next prime is 386007868817. The reversal of 386007868800 is 8868700683.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67705950 + ... + 67711650.

It is an arithmetic number, because the mean of its divisors is an integer number (4785389245).

Almost surely, 2^386007868800 is an apocalyptic number.

386007868800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386007868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689096051280).

386007868800 is an abundant number, since it is smaller than the sum of its proper divisors (992184233760).

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

386007868800 is a wasteful number, since it uses less digits than its factorization.

386007868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8082 (or 8062 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 386007868800 in words is "three hundred eighty-six billion, seven million, eight hundred sixty-eight thousand, eight hundred".