386079613920 has 3072 divisors, whose sum is σ = 1976854118400. Its totient is φ = 67722117120.

The previous prime is 386079613903. The next prime is 386079613981. The reversal of 386079613920 is 29316970683.

386079613920 is a `hidden beast` number, since 3 + 8 + 607 + 9 + 6 + 1 + 3 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 3039996897 + ... + 3039997023.

It is an arithmetic number, because the mean of its divisors is an integer number (643507200).

Almost surely, 2^386079613920 is an apocalyptic number.

386079613920 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 386079613920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988427059200).

386079613920 is an abundant number, since it is smaller than the sum of its proper divisors (1590774504480).

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

386079613920 is a wasteful number, since it uses less digits than its factorization.

386079613920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

It can be divided in two parts, 386079 and 613920, that added together give a palindrome (999999).

The spelling of 386079613920 in words is "three hundred eighty-six billion, seventy-nine million, six hundred thirteen thousand, nine hundred twenty".