4349016000 has 336 divisors, whose sum is σ = 17781666240. Its totient is φ = 993945600.

The previous prime is 4349015981. The next prime is 4349016011. The reversal of 4349016000 is 6109434.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 499686 + ... + 508314.

Almost surely, 2^4349016000 is an apocalyptic number.

4349016000 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 4349016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8890833120).

4349016000 is an abundant number, since it is smaller than the sum of its proper divisors (13432650240).

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

4349016000 is a wasteful number, since it uses less digits than its factorization.

4349016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8669 (or 8646 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 4349016000 is about 65947.0696847100. The cubic root of 4349016000 is about 1632.2888041372.

The spelling of 4349016000 in words is "four billion, three hundred forty-nine million, sixteen thousand".