385650833909760 has 2304 divisors, whose sum is σ = 1511505515520000. Its totient is φ = 92995007938560.

The previous prime is 385650833909743. The next prime is 385650833909837. The reversal of 385650833909760 is 67909338056583.

385650833909760 is a `hidden beast` number, since 3 + 8 + 56 + 50 + 83 + 390 + 9 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 398811616797 + ... + 398811617763.

It is an arithmetic number, because the mean of its divisors is an integer number (656035380000).

Almost surely, 2^{385650833909760} is an apocalyptic number.

385650833909760 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 385650833909760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755752757760000).

385650833909760 is an abundant number, since it is smaller than the sum of its proper divisors (1125854681610240).

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

385650833909760 is a wasteful number, since it uses less digits than its factorization.

385650833909760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 385650833909760 in words is "three hundred eighty-five trillion, six hundred fifty billion, eight hundred thirty-three million, nine hundred nine thousand, seven hundred sixty".