385691342400 has 2016 divisors, whose sum is σ = 1796173037568. Its totient is φ = 76275302400.

The previous prime is 385691342363. The next prime is 385691342419. The reversal of 385691342400 is 4243196583.

385691342400 is a `hidden beast` number, since 3 + 8 + 569 + 1 + 3 + 42 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 287 ways as a sum of consecutive naturals, for example, 2019326305 + ... + 2019326495.

It is an arithmetic number, because the mean of its divisors is an integer number (890958848).

Almost surely, 2^385691342400 is an apocalyptic number.

385691342400 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 385691342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898086518784).

385691342400 is an abundant number, since it is smaller than the sum of its proper divisors (1410481695168).

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

385691342400 is a wasteful number, since it uses less digits than its factorization.

385691342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 385691342400 in words is "three hundred eighty-five billion, six hundred ninety-one million, three hundred forty-two thousand, four hundred".