385817364000 has 768 divisors, whose sum is σ = 1478181519360. Its totient is φ = 97556659200.

The previous prime is 385817363963. The next prime is 385817364029. The reversal of 385817364000 is 463718583.

385817364000 is a `hidden beast` number, since 3 + 8 + 581 + 7 + 3 + 64 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 315467389 + ... + 315468611.

It is an arithmetic number, because the mean of its divisors is an integer number (1924715520).

Almost surely, 2^385817364000 is an apocalyptic number.

385817364000 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 385817364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739090759680).

385817364000 is an abundant number, since it is smaller than the sum of its proper divisors (1092364155360).

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

385817364000 is a wasteful number, since it uses less digits than its factorization.

385817364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 385817364000 in words is "three hundred eighty-five billion, eight hundred seventeen million, three hundred sixty-four thousand".