386601505920 has 1536 divisors, whose sum is σ = 1688046796800. Its totient is φ = 79546613760.

The previous prime is 386601505909. The next prime is 386601505999. The reversal of 386601505920 is 29505106683.

386601505920 is a `hidden beast` number, since 3 + 8 + 6 + 6 + 0 + 1 + 50 + 592 + 0 = 666.

It is a super-2 number, since 2×386601505920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1733638929 + ... + 1733639151.

It is an arithmetic number, because the mean of its divisors is an integer number (1098988800).

Almost surely, 2^386601505920 is an apocalyptic number.

386601505920 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 386601505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844023398400).

386601505920 is an abundant number, since it is smaller than the sum of its proper divisors (1301445290880).

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

386601505920 is a wasteful number, since it uses less digits than its factorization.

386601505920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 386601505920 in words is "three hundred eighty-six billion, six hundred one million, five hundred five thousand, nine hundred twenty".