3428041141009 has 9 divisors (see below), whose sum is σ = 3433457904753. Its totient is φ = 3422632918272.

The previous prime is 3428041141001. The next prime is 3428041141013. The reversal of 3428041141009 is 9001411408243.

The square root of 3428041141009 is 1851497.

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 532162955025 + 2895878185984 = 729495^2 + 1701728^2 .

It is not a de Polignac number, because 3428041141009 - 2³ = 3428041141001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3428041141001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1720039717 + ... + 1720041709.

Almost surely, 2^{3428041141009} is an apocalyptic number.

3428041141009 is the 1851497-th square number.

3428041141009 is the 925749-th centered octagonal number.

It is an amenable number.

3428041141009 is a deficient number, since it is larger than the sum of its proper divisors (5416763744).

3428041141009 is an frugal number, since it uses more digits than its factorization.

3428041141009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5844 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 3428041141009 in words is "three trillion, four hundred twenty-eight billion, forty-one million, one hundred forty-one thousand, nine".