4349756320 has 384 divisors, whose sum is σ = 13655900160. Its totient is φ = 1271255040.

The previous prime is 4349756311. The next prime is 4349756321. The reversal of 4349756320 is 236579434.

It is not an unprimeable number, because it can be changed into a prime (4349756321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10381071 + ... + 10381489.

It is an arithmetic number, because the mean of its divisors is an integer number (35562240).

Almost surely, 2^4349756320 is an apocalyptic number.

4349756320 is a gapful number since it is divisible by the number (40) 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 4349756320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6827950080).

4349756320 is an abundant number, since it is smaller than the sum of its proper divisors (9306143840).

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

4349756320 is a wasteful number, since it uses less digits than its factorization.

4349756320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 43.

The square root of 4349756320 is about 65952.6824321801. The cubic root of 4349756320 is about 1632.3814187644.

The spelling of 4349756320 in words is "four billion, three hundred forty-nine million, seven hundred fifty-six thousand, three hundred twenty".