385942073193600 has 1536 divisors, whose sum is σ = 1669172708966400. Its totient is φ = 75934402560000.

The previous prime is 385942073193569. The next prime is 385942073193623. The reversal of 385942073193600 is 6391370249583.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30996867375 + ... + 30996879825.

It is an arithmetic number, because the mean of its divisors is an integer number (1086700982400).

It is a 1-persistent number, because it is pandigital, but 2⋅385942073193600 = 771884146387200 is not.

Almost surely, 2^{385942073193600} is an apocalyptic number.

385942073193600 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 385942073193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834586354483200).

385942073193600 is an abundant number, since it is smaller than the sum of its proper divisors (1283230635772800).

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

385942073193600 is a wasteful number, since it uses less digits than its factorization.

385942073193600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14722 (or 14705 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 60.

The spelling of 385942073193600 in words is "three hundred eighty-five trillion, nine hundred forty-two billion, seventy-three million, one hundred ninety-three thousand, six hundred".