1349755264 has 128 divisors (see below), whose sum is σ = 3246072480. Its totient is φ = 550748160.

The previous prime is 1349755247. The next prime is 1349755313. The reversal of 1349755264 is 4625579431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 676252 + ... + 678244.

Almost surely, 2^1349755264 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 1349755264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623036240).

1349755264 is an abundant number, since it is smaller than the sum of its proper divisors (1896317216).

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

1349755264 is a wasteful number, since it uses less digits than its factorization.

1349755264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2056 counting only the distinct ones).

The product of its digits is 907200, while the sum is 46.

The square root of 1349755264 is about 36739.0155556732. The cubic root of 1349755264 is about 1105.1426592498.

The spelling of 1349755264 in words is "one billion, three hundred forty-nine million, seven hundred fifty-five thousand, two hundred sixty-four".