1322665344 has 768 divisors, whose sum is σ = 5417717760. Its totient is φ = 298598400.

The previous prime is 1322665327. The next prime is 1322665349. The reversal of 1322665344 is 4435662231.

It is a super-2 number, since 2×1322665344² = 3498887224437276672, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1322665299 and 1322665308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322665349) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 35747694 + ... + 35747730.

It is an arithmetic number, because the mean of its divisors is an integer number (7054320).

Almost surely, 2^1322665344 is an apocalyptic number.

1322665344 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 1322665344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708858880).

1322665344 is an abundant number, since it is smaller than the sum of its proper divisors (4095052416).

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

1322665344 is a wasteful number, since it uses less digits than its factorization.

1322665344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 104 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 1322665344 is about 36368.4663410488. The cubic root of 1322665344 is about 1097.6991421919.

It can be divided in two parts, 1322 and 665344, that added together give a palindrome (666666).

The spelling of 1322665344 in words is "one billion, three hundred twenty-two million, six hundred sixty-five thousand, three hundred forty-four".