386242418688 has 192 divisors, whose sum is σ = 1238773536000. Its totient is φ = 104546598912.

The previous prime is 386242418687. The next prime is 386242418689. The reversal of 386242418688 is 886814242683.

It is an interprime number because it is at equal distance from previous prime (386242418687) and next prime (386242418689).

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386242418687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 580818 + ... + 1053486.

It is an arithmetic number, because the mean of its divisors is an integer number (6451945500).

Almost surely, 2^386242418688 is an apocalyptic number.

386242418688 is a gapful number since it is divisible by the number (38) 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 386242418688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619386768000).

386242418688 is an abundant number, since it is smaller than the sum of its proper divisors (852531117312).

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

386242418688 is a wasteful number, since it uses less digits than its factorization.

386242418688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472720 (or 472700 counting only the distinct ones).

The product of its digits is 28311552, while the sum is 60.

The spelling of 386242418688 in words is "three hundred eighty-six billion, two hundred forty-two million, four hundred eighteen thousand, six hundred eighty-eight".