3472804608 has 576 divisors, whose sum is σ = 12526940160. Its totient is φ = 828112896.

The previous prime is 3472804589. The next prime is 3472804613. The reversal of 3472804608 is 8064082743.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 3472804608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43959513 + ... + 43959591.

It is an arithmetic number, because the mean of its divisors is an integer number (21748160).

Almost surely, 2^3472804608 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 3472804608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6263470080).

3472804608 is an abundant number, since it is smaller than the sum of its proper divisors (9054135552).

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

3472804608 is a wasteful number, since it uses less digits than its factorization.

3472804608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 3472804608 is about 58930.5065988746. The cubic root of 3472804608 is about 1514.3518171757.

The spelling of 3472804608 in words is "three billion, four hundred seventy-two million, eight hundred four thousand, six hundred eight".