3473923600 has 135 divisors (see below), whose sum is σ = 9731846151. Its totient is φ = 1188230400.

The previous prime is 3473923597. The next prime is 3473923613. The reversal of 3473923600 is 63293743.

The square root of 3473923600 is 58940.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1989516816 + 1484406784 = 44604^2 + 38528^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3473923600.

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 26 ways as a sum of consecutive naturals, for example, 8251390 + ... + 8251810.

Almost surely, 2^3473923600 is an apocalyptic number.

3473923600 is the 58940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3473923600

3473923600 is an abundant number, since it is smaller than the sum of its proper divisors (6257922551).

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

3473923600 is an equidigital number, since it uses as much as digits as its factorization.

3473923600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 37.

The cubic root of 3473923600 is about 1514.5144489954.

The spelling of 3473923600 in words is "three billion, four hundred seventy-three million, nine hundred twenty-three thousand, six hundred".