386112900096 has 792 divisors, whose sum is σ = 1489645460160. Its totient is φ = 94987468800.

The previous prime is 386112900091. The next prime is 386112900097. The reversal of 386112900096 is 690009211683.

It is a happy number.

386112900096 is a `hidden beast` number, since 3 + 8 + 611 + 29 + 0 + 0 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is not an unprimeable number, because it can be changed into a prime (386112900091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94379011 + ... + 94383101.

It is an arithmetic number, because the mean of its divisors is an integer number (1880865480).

Almost surely, 2^386112900096 is an apocalyptic number.

386112900096 is a gapful number since it is divisible by the number (36) 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 386112900096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744822730080).

386112900096 is an abundant number, since it is smaller than the sum of its proper divisors (1103532560064).

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

386112900096 is a wasteful number, since it uses less digits than its factorization.

386112900096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4161 (or 4133 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 386112900096 in words is "three hundred eighty-six billion, one hundred twelve million, nine hundred thousand, ninety-six".