1323350784 has 252 divisors, whose sum is σ = 4530738576. Its totient is φ = 377726976.

The previous prime is 1323350773. The next prime is 1323350803. The reversal of 1323350784 is 4870533231.

It is a tau number, because it is divible by the number of its divisors (252).

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

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 27 ways as a sum of consecutive naturals, for example, 1305862 + ... + 1306874.

Almost surely, 2^1323350784 is an apocalyptic number.

1323350784 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 1323350784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265369288).

1323350784 is an abundant number, since it is smaller than the sum of its proper divisors (3207387792).

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

1323350784 is an frugal number, since it uses more digits than its factorization.

1323350784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1323350784 is about 36377.8886688054. Note that the first 3 decimals coincide. The cubic root of 1323350784 is about 1097.8887283102. Note that the first 3 decimals are identical.

The spelling of 1323350784 in words is "one billion, three hundred twenty-three million, three hundred fifty thousand, seven hundred eighty-four".