3434441300 has 18 divisors (see below), whose sum is σ = 7452737838. Its totient is φ = 1373776480.

The previous prime is 3434441281. The next prime is 3434441327. The reversal of 3434441300 is 31444343.

3434441300 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 3 ways, for example, as 781985296 + 2652456004 = 27964^2 + 51502^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3434441300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17172107 + ... + 17172306.

It is an arithmetic number, because the mean of its divisors is an integer number (414040991).

Almost surely, 2^3434441300 is an apocalyptic number.

It is an amenable number.

3434441300 is an abundant number, since it is smaller than the sum of its proper divisors (4018296538).

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

3434441300 is a wasteful number, since it uses less digits than its factorization.

3434441300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34344427 (or 34344420 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 3434441300 is about 58604.1065114041. The cubic root of 3434441300 is about 1508.7549200203.

Adding to 3434441300 its reverse (31444343), we get a palindrome (3465885643).

The spelling of 3434441300 in words is "three billion, four hundred thirty-four million, four hundred forty-one thousand, three hundred".