1349330880 has 168 divisors, whose sum is σ = 4480175952. Its totient is φ = 344047616.

The previous prime is 1349330839. The next prime is 1349330881. The reversal of 1349330880 is 880339431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349330881) 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 23 ways as a sum of consecutive naturals, for example, 506512 + ... + 509168.

It is an arithmetic number, because the mean of its divisors is an integer number (26667714).

Almost surely, 2^1349330880 is an apocalyptic number.

1349330880 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 1349330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240087976).

1349330880 is an abundant number, since it is smaller than the sum of its proper divisors (3130845072).

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

1349330880 is a wasteful number, since it uses less digits than its factorization.

1349330880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 1349330880 is about 36733.2394433162. The cubic root of 1349330880 is about 1105.0268224415.

The spelling of 1349330880 in words is "one billion, three hundred forty-nine million, three hundred thirty thousand, eight hundred eighty".