385014643200 has 1680 divisors, whose sum is σ = 1623859852032. Its totient is φ = 90326016000.

The previous prime is 385014643171. The next prime is 385014643217. The reversal of 385014643200 is 2346410583.

385014643200 is a `hidden beast` number, since 3 + 8 + 5 + 0 + 1 + 4 + 643 + 2 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 12419827185 + ... + 12419827215.

Almost surely, 2^385014643200 is an apocalyptic number.

385014643200 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 385014643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811929926016).

385014643200 is an abundant number, since it is smaller than the sum of its proper divisors (1238845208832).

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

385014643200 is an frugal number, since it uses more digits than its factorization.

385014643200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 385014643200 in words is "three hundred eighty-five billion, fourteen million, six hundred forty-three thousand, two hundred".