1383986304 has 256 divisors, whose sum is σ = 4272576000. Its totient is φ = 440681472.

The previous prime is 1383986249. The next prime is 1383986309. The reversal of 1383986304 is 4036893831.

1383986304 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 9 + 8 + 630 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1383986304.

It is not an unprimeable number, because it can be changed into a prime (1383986309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9956667 + ... + 9956805.

It is an arithmetic number, because the mean of its divisors is an integer number (16689750).

Almost surely, 2^1383986304 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 1383986304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2136288000).

1383986304 is an abundant number, since it is smaller than the sum of its proper divisors (2888589696).

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

1383986304 is a wasteful number, since it uses less digits than its factorization.

1383986304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 1383986304 is about 37201.9663996408. The cubic root of 1383986304 is about 1114.4072550434.

The spelling of 1383986304 in words is "one billion, three hundred eighty-three million, nine hundred eighty-six thousand, three hundred four".