385360032000 has 1152 divisors, whose sum is σ = 1413307284480. Its totient is φ = 92779315200.

The previous prime is 385360031989. The next prime is 385360032017. The reversal of 385360032000 is 230063583.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 4329887956 + ... + 4329888044.

It is an arithmetic number, because the mean of its divisors is an integer number (1226829240).

Almost surely, 2^385360032000 is an apocalyptic number.

385360032000 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 385360032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706653642240).

385360032000 is an abundant number, since it is smaller than the sum of its proper divisors (1027947252480).

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

385360032000 is a wasteful number, since it uses less digits than its factorization.

385360032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 385360032000 its reverse (230063583), we get a palindrome (385590095583).

The spelling of 385360032000 in words is "three hundred eighty-five billion, three hundred sixty million, thirty-two thousand".