3430400013 has 48 divisors (see below), whose sum is σ = 5174297856. Its totient is φ = 2188270080.

The previous prime is 3430399979. The next prime is 3430400081. The reversal of 3430400013 is 3100040343.

It is not a de Polignac number, because 3430400013 - 2¹⁸ = 3430137869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430404013) 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, 9346956 + ... + 9347322.

It is an arithmetic number, because the mean of its divisors is an integer number (107797872).

Almost surely, 2^3430400013 is an apocalyptic number.

It is an amenable number.

3430400013 is a deficient number, since it is larger than the sum of its proper divisors (1743897843).

3430400013 is a wasteful number, since it uses less digits than its factorization.

3430400013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3430400013 is about 58569.6168076930. The cubic root of 3430400013 is about 1508.1629067219.

Adding to 3430400013 its reverse (3100040343), we get a palindrome (6530440356).

The spelling of 3430400013 in words is "three billion, four hundred thirty million, four hundred thousand, thirteen".