3430444900 has 27 divisors (see below), whose sum is σ = 7445336619. Its totient is φ = 1371943680.

The previous prime is 3430444877. The next prime is 3430444921. The reversal of 3430444900 is 94440343.

The square root of 3430444900 is 58570.

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 539447076 + 2890997824 = 23226^2 + 53768^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 582772 + ... + 588628.

Almost surely, 2^3430444900 is an apocalyptic number.

3430444900 is the 58570-th square number.

It is an amenable number.

3430444900 is an abundant number, since it is smaller than the sum of its proper divisors (4014891719).

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

3430444900 is an frugal number, since it uses more digits than its factorization.

3430444900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11728 (or 5864 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The cubic root of 3430444900 is about 1508.1694848287.

Multiplying 3430444900 by its product of nonzero digits (20736), we get a square (71133705446400 = 8434080²).

The spelling of 3430444900 in words is "three billion, four hundred thirty million, four hundred forty-four thousand, nine hundred".