1385186304 has 88 divisors (see below), whose sum is σ = 3711260128. Its totient is φ = 459325440.

The previous prime is 1385186281. The next prime is 1385186311. The reversal of 1385186304 is 4036815831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 647124 + ... + 649260.

Almost surely, 2^1385186304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1385186304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855630064).

1385186304 is an abundant number, since it is smaller than the sum of its proper divisors (2326073824).

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

1385186304 is a wasteful number, since it uses less digits than its factorization.

1385186304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 1385186304 is about 37218.0910848474. The cubic root of 1385186304 is about 1114.7292482078.

The spelling of 1385186304 in words is "one billion, three hundred eighty-five million, one hundred eighty-six thousand, three hundred four".