385127820 has 288 divisors, whose sum is σ = 1497839616. Its totient is φ = 77760000.

The previous prime is 385127807. The next prime is 385127837. The reversal of 385127820 is 28721583.

385127820 is a `hidden beast` number, since 385 + 1 + 278 + 2 + 0 = 666.

385127820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 512445 + ... + 513195.

It is an arithmetic number, because the mean of its divisors is an integer number (5200832).

Almost surely, 2^385127820 is an apocalyptic number.

385127820 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 385127820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748919808).

385127820 is an abundant number, since it is smaller than the sum of its proper divisors (1112711796).

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

385127820 is a wasteful number, since it uses less digits than its factorization.

385127820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 385127820 is about 19624.6737552500. The cubic root of 385127820 is about 727.5591336069.

The spelling of 385127820 in words is "three hundred eighty-five million, one hundred twenty-seven thousand, eight hundred twenty".