385218201600 has 1152 divisors, whose sum is σ = 1491654528000. Its totient is φ = 97320960000.

The previous prime is 385218201559. The next prime is 385218201601. The reversal of 385218201600 is 6102812583.

It is a happy number.

385218201600 is a `hidden beast` number, since 3 + 8 + 5 + 21 + 8 + 20 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (385218201601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3814041550 + ... + 3814041650.

It is an arithmetic number, because the mean of its divisors is an integer number (1294839000).

Almost surely, 2^385218201600 is an apocalyptic number.

385218201600 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 385218201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745827264000).

385218201600 is an abundant number, since it is smaller than the sum of its proper divisors (1106436326400).

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

385218201600 is a wasteful number, since it uses less digits than its factorization.

385218201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 385218201600 in words is "three hundred eighty-five billion, two hundred eighteen million, two hundred one thousand, six hundred".