385820262432 has 144 divisors (see below), whose sum is σ = 1201888527840. Its totient is φ = 116429875200.

The previous prime is 385820262409. The next prime is 385820262439. The reversal of 385820262432 is 234262028583.

It is a happy number.

385820262432 is a `hidden beast` number, since 3 + 8 + 5 + 8 + 202 + 6 + 2 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (385820262439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 510819 + ... + 1016157.

It is an arithmetic number, because the mean of its divisors is an integer number (8346448110).

Almost surely, 2^385820262432 is an apocalyptic number.

385820262432 is a gapful number since it is divisible by the number (32) 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 385820262432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600944263920).

385820262432 is an abundant number, since it is smaller than the sum of its proper divisors (816068265408).

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

385820262432 is a wasteful number, since it uses less digits than its factorization.

385820262432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505607 (or 505596 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 385820262432 in words is "three hundred eighty-five billion, eight hundred twenty million, two hundred sixty-two thousand, four hundred thirty-two".