385820100 has 216 divisors, whose sum is σ = 1296667008. Its totient is φ = 95616000.

The previous prime is 385820087. The next prime is 385820107. The reversal of 385820100 is 1028583.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385820107) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 2310217 + ... + 2310383.

It is an arithmetic number, because the mean of its divisors is an integer number (6003088).

Almost surely, 2^385820100 is an apocalyptic number.

385820100 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 385820100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648333504).

385820100 is an abundant number, since it is smaller than the sum of its proper divisors (910846908).

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

385820100 is a wasteful number, since it uses less digits than its factorization.

385820100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 385820100 is about 19642.3038363630. The cubic root of 385820100 is about 727.9948098692.

Adding to 385820100 its reverse (1028583), we get a palindrome (386848683).

The spelling of 385820100 in words is "three hundred eighty-five million, eight hundred twenty thousand, one hundred".