3404283304900 has 81 divisors (see below), whose sum is σ = 7423788360807. Its totient is φ = 1355019408000.

The previous prime is 3404283304883. The next prime is 3404283304987. The reversal of 3404283304900 is 94033824043.

The square root of 3404283304900 is 1845070.

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

3404283304900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 181051952004 + 3223231352896 = 425502^2 + 1795336^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5664364600 + ... + 5664365200.

Almost surely, 2^{3404283304900} is an apocalyptic number.

3404283304900 is the 1845070-th square number.

It is an amenable number.

3404283304900 is an abundant number, since it is smaller than the sum of its proper divisors (4019505055907).

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

3404283304900 is an frugal number, since it uses more digits than its factorization.

3404283304900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The spelling of 3404283304900 in words is "three trillion, four hundred four billion, two hundred eighty-three million, three hundred four thousand, nine hundred".