386483385600 has 1296 divisors, whose sum is σ = 1596916509552. Its totient is φ = 88332042240.

The previous prime is 386483385553. The next prime is 386483385601. The reversal of 386483385600 is 6583384683.

386483385600 is a `hidden beast` number, since 3 + 8 + 6 + 48 + 3 + 38 + 560 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 368458712064 + 18024673536 = 607008^2 + 134256^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386483385601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1234771044 + ... + 1234771356.

Almost surely, 2^386483385600 is an apocalyptic number.

386483385600 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 386483385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798458254776).

386483385600 is an abundant number, since it is smaller than the sum of its proper divisors (1210433123952).

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

386483385600 is a wasteful number, since it uses less digits than its factorization.

386483385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 386483385600 in words is "three hundred eighty-six billion, four hundred eighty-three million, three hundred eighty-five thousand, six hundred".