1349016768 has 280 divisors, whose sum is σ = 4476591504. Its totient is φ = 398131200.

The previous prime is 1349016763. The next prime is 1349016803. The reversal of 1349016768 is 8676109431.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1349016761) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2337696 + ... + 2338272.

Almost surely, 2^1349016768 is an apocalyptic number.

1349016768 is a gapful number since it is divisible by the number (18) 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 1349016768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238295752).

1349016768 is an abundant number, since it is smaller than the sum of its proper divisors (3127574736).

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

1349016768 is a wasteful number, since it uses less digits than its factorization.

1349016768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1349016768 is about 36728.9636118418. The cubic root of 1349016768 is about 1104.9410690438.

The spelling of 1349016768 in words is "one billion, three hundred forty-nine million, sixteen thousand, seven hundred sixty-eight".