3504824960 has 192 divisors, whose sum is σ = 10497642120. Its totient is φ = 1109090304.

The previous prime is 3504824929. The next prime is 3504824971. The reversal of 3504824960 is 694284053.

It can be written as a sum of positive squares in 4 ways, for example, as 2545807936 + 959017024 = 50456^2 + 30968^2 .

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 23 ways as a sum of consecutive naturals, for example, 403382 + ... + 411978.

Almost surely, 2^3504824960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3504824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5248821060).

3504824960 is an abundant number, since it is smaller than the sum of its proper divisors (6992817160).

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

3504824960 is a wasteful number, since it uses less digits than its factorization.

3504824960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8643 (or 8624 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The square root of 3504824960 is about 59201.5621415516. The cubic root of 3504824960 is about 1518.9918522643.

The spelling of 3504824960 in words is "three billion, five hundred four million, eight hundred twenty-four thousand, nine hundred sixty".