1383668832 has 192 divisors, whose sum is σ = 4504550400. Its totient is φ = 362133504.

The previous prime is 1383668821. The next prime is 1383668857. The reversal of 1383668832 is 2388663831.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1301133 + ... + 1302195.

It is an arithmetic number, because the mean of its divisors is an integer number (23461200).

Almost surely, 2^1383668832 is an apocalyptic number.

1383668832 is a gapful number since it is divisible by the number (12) 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 1383668832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252275200).

1383668832 is an abundant number, since it is smaller than the sum of its proper divisors (3120881568).

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

1383668832 is a wasteful number, since it uses less digits than its factorization.

1383668832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1237 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 1383668832 is about 37197.6992836923. The cubic root of 1383668832 is about 1114.3220373996.

The spelling of 1383668832 in words is "one billion, three hundred eighty-three million, six hundred sixty-eight thousand, eight hundred thirty-two".