1383686304 has 576 divisors, whose sum is σ = 5299281792. Its totient is φ = 312238080.

The previous prime is 1383686263. The next prime is 1383686323. The reversal of 1383686304 is 4036863831.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81393304 + ... + 81393320.

It is an arithmetic number, because the mean of its divisors is an integer number (9200142).

Almost surely, 2^1383686304 is an apocalyptic number.

1383686304 is a gapful number since it is divisible by the number (14) 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 1383686304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649640896).

1383686304 is an abundant number, since it is smaller than the sum of its proper divisors (3915595488).

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

1383686304 is a wasteful number, since it uses less digits than its factorization.

1383686304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 1383686304 is about 37197.9341361856. The cubic root of 1383686304 is about 1114.3267276723.

The spelling of 1383686304 in words is "one billion, three hundred eighty-three million, six hundred eighty-six thousand, three hundred four".