1330344000 has 280 divisors, whose sum is σ = 4923955608. Its totient is φ = 354585600.

The previous prime is 1330343981. The next prime is 1330344007. The reversal of 1330344000 is 4430331.

It can be written as a sum of positive squares in 4 ways, for example, as 54997056 + 1275346944 = 7416^2 + 35712^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1330344007) 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 39 ways as a sum of consecutive naturals, for example, 646974 + ... + 649026.

Almost surely, 2^1330344000 is an apocalyptic number.

1330344000 is a gapful number since it is divisible by the number (10) 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 1330344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461977804).

1330344000 is an abundant number, since it is smaller than the sum of its proper divisors (3593611608).

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

1330344000 is an equidigital number, since it uses as much as digits as its factorization.

1330344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1330344000 is about 36473.8810657709. The cubic root of 1330344000 is about 1099.8192540490.

Adding to 1330344000 its reverse (4430331), we get a palindrome (1334774331).

The spelling of 1330344000 in words is "one billion, three hundred thirty million, three hundred forty-four thousand".