386105287680 has 1408 divisors, whose sum is σ = 1653090385920. Its totient is φ = 83607552000.

The previous prime is 386105287669. The next prime is 386105287693. The reversal of 386105287680 is 86782501683.

386105287680 is a `hidden beast` number, since 38 + 6 + 1 + 0 + 528 + 7 + 6 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1829882775 + ... + 1829882985.

Almost surely, 2^386105287680 is an apocalyptic number.

386105287680 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 386105287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826545192960).

386105287680 is an abundant number, since it is smaller than the sum of its proper divisors (1266985098240).

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

386105287680 is a wasteful number, since it uses less digits than its factorization.

386105287680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 386105287680 in words is "three hundred eighty-six billion, one hundred five million, two hundred eighty-seven thousand, six hundred eighty".