384520089600 has 1248 divisors, whose sum is σ = 1529132575680. Its totient is φ = 95551488000.

The previous prime is 384520089593. The next prime is 384520089677. The reversal of 384520089600 is 6980025483.

384520089600 is a `hidden beast` number, since 38 + 4 + 5 + 2 + 0 + 0 + 8 + 9 + 600 = 666.

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 95 ways as a sum of consecutive naturals, for example, 3807129550 + ... + 3807129650.

Almost surely, 2^384520089600 is an apocalyptic number.

384520089600 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 384520089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764566287840).

384520089600 is an abundant number, since it is smaller than the sum of its proper divisors (1144612486080).

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

384520089600 is an equidigital number, since it uses as much as digits as its factorization.

384520089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 384520089600 in words is "three hundred eighty-four billion, five hundred twenty million, eighty-nine thousand, six hundred".