386879826960 has 800 divisors, whose sum is σ = 1585326961152. Its totient is φ = 86381199360.

The previous prime is 386879826959. The next prime is 386879827001. The reversal of 386879826960 is 69628978683.

386879826960 is a `hidden beast` number, since 386 + 87 + 9 + 82 + 6 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 56949324 + ... + 56956116.

Almost surely, 2^386879826960 is an apocalyptic number.

386879826960 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 386879826960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792663480576).

386879826960 is an abundant number, since it is smaller than the sum of its proper divisors (1198447134192).

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

386879826960 is a wasteful number, since it uses less digits than its factorization.

386879826960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6893 (or 6878 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 386879826960 in words is "three hundred eighty-six billion, eight hundred seventy-nine million, eight hundred twenty-six thousand, nine hundred sixty".