385630804264320 has 512 divisors, whose sum is σ = 1394873493782400. Its totient is φ = 101924796137472.

The previous prime is 385630804264309. The next prime is 385630804264331. The reversal of 385630804264320 is 23462408036583.

385630804264320 is a `hidden beast` number, since 3 + 8 + 5 + 6 + 308 + 0 + 4 + 2 + 6 + 4 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (385630804264309) and next prime (385630804264331).

It is a super-2 number, since 2×385630804264320² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156944754 + ... + 159382926.

Almost surely, 2^{385630804264320} is an apocalyptic number.

385630804264320 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 385630804264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697436746891200).

385630804264320 is an abundant number, since it is smaller than the sum of its proper divisors (1009242689518080).

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

385630804264320 is an equidigital number, since it uses as much as digits as its factorization.

385630804264320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438326 (or 2438296 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 385630804264320 in words is "three hundred eighty-five trillion, six hundred thirty billion, eight hundred four million, two hundred sixty-four thousand, three hundred twenty".