1386338600 has 72 divisors (see below), whose sum is σ = 3331028430. Its totient is φ = 536572800.

The previous prime is 1386338581. The next prime is 1386338621. The reversal of 1386338600 is 68336831.

It can be written as a sum of positive squares in 3 ways, for example, as 1218428836 + 167909764 = 34906^2 + 12958^2 .

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 188594 + ... + 195806.

Almost surely, 2^1386338600 is an apocalyptic number.

1386338600 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 1386338600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665514215).

1386338600 is an abundant number, since it is smaller than the sum of its proper divisors (1944689830).

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

1386338600 is a wasteful number, since it uses less digits than its factorization.

1386338600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7291 (or 7251 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 1386338600 is about 37233.5681878597. The cubic root of 1386338600 is about 1115.0382660961.

The spelling of 1386338600 in words is "one billion, three hundred eighty-six million, three hundred thirty-eight thousand, six hundred".