386104320000 has 2100 divisors, whose sum is σ = 1764959266620. Its totient is φ = 83607552000.

The previous prime is 386104319987. The next prime is 386104320011. The reversal of 386104320000 is 23401683.

It is a happy number.

386104320000 is a `hidden beast` number, since 3 + 8 + 610 + 43 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2100).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 20321279991 + ... + 20321280009.

Almost surely, 2^386104320000 is an apocalyptic number.

386104320000 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 386104320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882479633310).

386104320000 is an abundant number, since it is smaller than the sum of its proper divisors (1378854946620).

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

386104320000 is an frugal number, since it uses more digits than its factorization.

386104320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 386104320000 its reverse (23401683), we get a palindrome (386127721683).

The spelling of 386104320000 in words is "three hundred eighty-six billion, one hundred four million, three hundred twenty thousand".