385948796800 has 384 divisors, whose sum is σ = 1193528520000. Its totient is φ = 120243486720.

The previous prime is 385948796777. The next prime is 385948796809. The reversal of 385948796800 is 8697849583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385948796809) 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 47 ways as a sum of consecutive naturals, for example, 11025726 + ... + 11060674.

Almost surely, 2^385948796800 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 385948796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596764260000).

385948796800 is an abundant number, since it is smaller than the sum of its proper divisors (807579723200).

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

385948796800 is a wasteful number, since it uses less digits than its factorization.

385948796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35026 (or 35009 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 67.

The spelling of 385948796800 in words is "three hundred eighty-five billion, nine hundred forty-eight million, seven hundred ninety-six thousand, eight hundred".