3508909344 has 288 divisors, whose sum is σ = 11114288640. Its totient is φ = 1045094400.

The previous prime is 3508909333. The next prime is 3508909357. The reversal of 3508909344 is 4439098053.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3508909344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9258147 + ... + 9258525.

It is an arithmetic number, because the mean of its divisors is an integer number (38591280).

Almost surely, 2^3508909344 is an apocalyptic number.

3508909344 is a gapful number since it is divisible by the number (34) 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 3508909344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5557144320).

3508909344 is an abundant number, since it is smaller than the sum of its proper divisors (7605379296).

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

3508909344 is a wasteful number, since it uses less digits than its factorization.

3508909344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3508909344 is about 59236.0476736927. The cubic root of 3508909344 is about 1519.5816808222.

The spelling of 3508909344 in words is "three billion, five hundred eight million, nine hundred nine thousand, three hundred forty-four".