3509839872 has 288 divisors, whose sum is σ = 12643525440. Its totient is φ = 911278080.

The previous prime is 3509839843. The next prime is 3509839877. The reversal of 3509839872 is 2789389053.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (3509839877) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1418028 + ... + 1420500.

It is an arithmetic number, because the mean of its divisors is an integer number (43901130).

Almost surely, 2^3509839872 is an apocalyptic number.

3509839872 is a gapful number since it is divisible by the number (32) 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 3509839872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6321762720).

3509839872 is an abundant number, since it is smaller than the sum of its proper divisors (9133685568).

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

3509839872 is a wasteful number, since it uses less digits than its factorization.

3509839872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2519 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 3509839872 is about 59243.9015595698. The cubic root of 3509839872 is about 1519.7159949530.

The spelling of 3509839872 in words is "three billion, five hundred nine million, eight hundred thirty-nine thousand, eight hundred seventy-two".