385726924800 has 1728 divisors, whose sum is σ = 1691581731840. Its totient is φ = 85279703040.

The previous prime is 385726924769. The next prime is 385726924823. The reversal of 385726924800 is 8429627583.

385726924800 is a `hidden beast` number, since 3 + 8 + 5 + 72 + 6 + 92 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3744921549 + ... + 3744921651.

Almost surely, 2^385726924800 is an apocalyptic number.

385726924800 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 385726924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845790865920).

385726924800 is an abundant number, since it is smaller than the sum of its proper divisors (1305854807040).

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

385726924800 is a wasteful number, since it uses less digits than its factorization.

385726924800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 385726924800 in words is "three hundred eighty-five billion, seven hundred twenty-six million, nine hundred twenty-four thousand, eight hundred".