385361447328 has 576 divisors, whose sum is σ = 1362081547008. Its totient is φ = 101676072960.

The previous prime is 385361447279. The next prime is 385361447369. The reversal of 385361447328 is 823744163583.

It is a happy number.

385361447328 is a `hidden beast` number, since 3 + 8 + 536 + 14 + 4 + 73 + 28 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69145150 + ... + 69150722.

It is an arithmetic number, because the mean of its divisors is an integer number (2364724908).

Almost surely, 2^385361447328 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 385361447328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681040773504).

385361447328 is an abundant number, since it is smaller than the sum of its proper divisors (976720099680).

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

385361447328 is a wasteful number, since it uses less digits than its factorization.

385361447328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5709 (or 5698 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 385361447328 in words is "three hundred eighty-five billion, three hundred sixty-one million, four hundred forty-seven thousand, three hundred twenty-eight".