1383346224 has 360 divisors, whose sum is σ = 4643140320. Its totient is φ = 381376512.

The previous prime is 1383346193. The next prime is 1383346229. The reversal of 1383346224 is 4226433831.

1383346224 is a `hidden beast` number, since 13 + 83 + 346 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (1383346229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15543172 + ... + 15543260.

It is an arithmetic number, because the mean of its divisors is an integer number (12897612).

Almost surely, 2^1383346224 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 1383346224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321570160).

1383346224 is an abundant number, since it is smaller than the sum of its proper divisors (3259794096).

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

1383346224 is a wasteful number, since it uses less digits than its factorization.

1383346224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 149 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 1383346224 is about 37193.3626336743. The cubic root of 1383346224 is about 1114.2354277673.

The spelling of 1383346224 in words is "one billion, three hundred eighty-three million, three hundred forty-six thousand, two hundred twenty-four".