385331795352 has 768 divisors, whose sum is σ = 1369630080000. Its totient is φ = 97995018240.

The previous prime is 385331795341. The next prime is 385331795353. The reversal of 385331795352 is 253597133583.

It is a happy number.

385331795352 is a `hidden beast` number, since 3 + 8 + 5 + 3 + 31 + 79 + 535 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385331795353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 990569974 + ... + 990570362.

It is an arithmetic number, because the mean of its divisors is an integer number (1783372500).

Almost surely, 2^385331795352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385331795352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684815040000).

385331795352 is an abundant number, since it is smaller than the sum of its proper divisors (984298284648).

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

385331795352 is a wasteful number, since it uses less digits than its factorization.

385331795352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 490 counting only the distinct ones).

The product of its digits is 10206000, while the sum is 54.

The spelling of 385331795352 in words is "three hundred eighty-five billion, three hundred thirty-one million, seven hundred ninety-five thousand, three hundred fifty-two".