1385780200 has 192 divisors, whose sum is σ = 3946176000. Its totient is φ = 441987840.

The previous prime is 1385780183. The next prime is 1385780267. The reversal of 1385780200 is 20875831.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1568959 + ... + 1569841.

It is an arithmetic number, because the mean of its divisors is an integer number (20553000).

Almost surely, 2^1385780200 is an apocalyptic number.

1385780200 is a gapful number since it is divisible by the number (10) 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 1385780200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973088000).

1385780200 is an abundant number, since it is smaller than the sum of its proper divisors (2560395800).

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

1385780200 is a wasteful number, since it uses less digits than its factorization.

1385780200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 1385780200 is about 37226.0688228021. The cubic root of 1385780200 is about 1114.8885381284. Note that the first 3 decimals are identical.

The spelling of 1385780200 in words is "one billion, three hundred eighty-five million, seven hundred eighty thousand, two hundred".