385228533600 has 432 divisors, whose sum is σ = 1386544068000. Its totient is φ = 100619919360.

The previous prime is 385228533587. The next prime is 385228533611. The reversal of 385228533600 is 6335822583.

385228533600 is a `hidden beast` number, since 3 + 8 + 5 + 2 + 2 + 8 + 5 + 33 + 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 71 ways as a sum of consecutive naturals, for example, 78311941 + ... + 78316859.

It is an arithmetic number, because the mean of its divisors is an integer number (3209592750).

Almost surely, 2^385228533600 is an apocalyptic number.

385228533600 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 385228533600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693272034000).

385228533600 is an abundant number, since it is smaller than the sum of its proper divisors (1001315534400).

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

385228533600 is a wasteful number, since it uses less digits than its factorization.

385228533600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5167 (or 5151 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 385228533600 in words is "three hundred eighty-five billion, two hundred twenty-eight million, five hundred thirty-three thousand, six hundred".