1385683200 has 540 divisors, whose sum is σ = 5612276208. Its totient is φ = 335923200.

The previous prime is 1385683199. The next prime is 1385683207. The reversal of 1385683200 is 23865831.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1385683207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 125971195 + ... + 125971205.

Almost surely, 2^1385683200 is an apocalyptic number.

1385683200 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 1385683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2806138104).

1385683200 is an abundant number, since it is smaller than the sum of its proper divisors (4226593008).

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

1385683200 is an frugal number, since it uses more digits than its factorization.

1385683200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1385683200 is about 37224.7659495664. The cubic root of 1385683200 is about 1114.8625246929.

The spelling of 1385683200 in words is "one billion, three hundred eighty-five million, six hundred eighty-three thousand, two hundred".