385352476185600 has 6336 divisors, whose sum is σ = 1941414301532160. Its totient is φ = 73268880998400.

The previous prime is 385352476185581. The next prime is 385352476185629. The reversal of 385352476185600 is 6581674253583.

385352476185600 is a `hidden beast` number, since 3 + 8 + 5 + 3 + 5 + 2 + 4 + 7 + 6 + 18 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (6336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 301292005761 + ... + 301292007039.

Almost surely, 2^{385352476185600} is an apocalyptic number.

385352476185600 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 385352476185600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970707150766080).

385352476185600 is an abundant number, since it is smaller than the sum of its proper divisors (1556061825346560).

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

385352476185600 is a wasteful number, since it uses less digits than its factorization.

385352476185600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 385352476185600 in words is "three hundred eighty-five trillion, three hundred fifty-two billion, four hundred seventy-six million, one hundred eighty-five thousand, six hundred".