3420400013 has 4 divisors (see below), whose sum is σ = 3420748800. Its totient is φ = 3420051228.

The previous prime is 3420399953. The next prime is 3420400021. The reversal of 3420400013 is 3100040243.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 3420400013 - 2¹² = 3420395917 is a prime.

It is a super-3 number, since 3×3420400013³ (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3420399964 and 3420400000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420400033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 159245 + ... + 179442.

It is an arithmetic number, because the mean of its divisors is an integer number (855187200).

Almost surely, 2^3420400013 is an apocalyptic number.

It is an amenable number.

3420400013 is a deficient number, since it is larger than the sum of its proper divisors (348787).

3420400013 is a wasteful number, since it uses less digits than its factorization.

3420400013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348786.

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3420400013 is about 58484.1860078432. The cubic root of 3420400013 is about 1506.6959924973.

Adding to 3420400013 its reverse (3100040243), we get a palindrome (6520440256).

The spelling of 3420400013 in words is "three billion, four hundred twenty million, four hundred thousand, thirteen".