385821600 has 144 divisors (see below), whose sum is σ = 1322102880. Its totient is φ = 97459200.

The previous prime is 385821551. The next prime is 385821649. The reversal of 385821600 is 6128583.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (385821551) and next prime (385821649).

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 23 ways as a sum of consecutive naturals, for example, 41370 + ... + 49830.

It is an arithmetic number, because the mean of its divisors is an integer number (9181270).

Almost surely, 2^385821600 is an apocalyptic number.

385821600 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 385821600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661051440).

385821600 is an abundant number, since it is smaller than the sum of its proper divisors (936281280).

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

385821600 is a wasteful number, since it uses less digits than its factorization.

385821600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8503 (or 8490 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 385821600 is about 19642.3420192196. The cubic root of 385821600 is about 727.9957533061.

The spelling of 385821600 in words is "three hundred eighty-five million, eight hundred twenty-one thousand, six hundred".