385285432320 has 264 divisors, whose sum is σ = 1413536509944. Its totient is φ = 96698892288.

The previous prime is 385285432307. The next prime is 385285432339. The reversal of 385285432320 is 23234582583.

385285432320 is a `hidden beast` number, since 3 + 8 + 5 + 285 + 43 + 2 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 166620708864 + 218664723456 = 408192^2 + 467616^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 537442 + ... + 1029278.

Almost surely, 2^385285432320 is an apocalyptic number.

385285432320 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 385285432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706768254972).

385285432320 is an abundant number, since it is smaller than the sum of its proper divisors (1028251077624).

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

385285432320 is a wasteful number, since it uses less digits than its factorization.

385285432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491885 (or 491864 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 385285432320 in words is "three hundred eighty-five billion, two hundred eighty-five million, four hundred thirty-two thousand, three hundred twenty".