385920345600 has 360 divisors, whose sum is σ = 1462351124520. Its totient is φ = 96857948160.

The previous prime is 385920345599. The next prime is 385920345611. The reversal of 385920345600 is 6543029583.

385920345600 is a `hidden beast` number, since 3 + 8 + 5 + 9 + 2 + 0 + 34 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1859871 + ... + 2056929.

It is an arithmetic number, because the mean of its divisors is an integer number (4062086457).

Almost surely, 2^385920345600 is an apocalyptic number.

385920345600 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 385920345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731175562260).

385920345600 is an abundant number, since it is smaller than the sum of its proper divisors (1076430778920).

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

385920345600 is a wasteful number, since it uses less digits than its factorization.

385920345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197110 (or 197086 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 385920345600 in words is "three hundred eighty-five billion, nine hundred twenty million, three hundred forty-five thousand, six hundred".