3430540041 has 48 divisors (see below), whose sum is σ = 5135270400. Its totient is φ = 2029718016.

The previous prime is 3430540039. The next prime is 3430540051. The reversal of 3430540041 is 1400450343.

3430540041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3430540041 - 2¹ = 3430540039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3430539993 and 3430540020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430540051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7161640 + ... + 7162118.

It is an arithmetic number, because the mean of its divisors is an integer number (106984800).

Almost surely, 2^3430540041 is an apocalyptic number.

It is an amenable number.

3430540041 is a deficient number, since it is larger than the sum of its proper divisors (1704730359).

3430540041 is a wasteful number, since it uses less digits than its factorization.

3430540041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3430540041 is about 58570.8121934467. The cubic root of 3430540041 is about 1508.1834273766.

Adding to 3430540041 its reverse (1400450343), we get a palindrome (4830990384).

The spelling of 3430540041 in words is "three billion, four hundred thirty million, five hundred forty thousand, forty-one".