3420430420 has 60 divisors (see below), whose sum is σ = 7901821620. Its totient is φ = 1243686400.

The previous prime is 3420430411. The next prime is 3420430451. The reversal of 3420430420 is 240340243.

It can be written as a sum of positive squares in 2 ways, for example, as 1480556484 + 1939873936 = 38478^2 + 44044^2 .

It is a super-2 number, since 2×3420430420² = 23398688516122752800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3420430391 and 3420430400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 286980 + ... + 298660.

It is an arithmetic number, because the mean of its divisors is an integer number (131697027).

Almost surely, 2^3420430420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420430420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950910810).

3420430420 is an abundant number, since it is smaller than the sum of its proper divisors (4481391200).

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

3420430420 is a wasteful number, since it uses less digits than its factorization.

3420430420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11734 (or 11699 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 3420430420 is about 58484.4459664277. The cubic root of 3420430420 is about 1506.7004572742.

Adding to 3420430420 its reverse (240340243), we get a palindrome (3660770663).

The spelling of 3420430420 in words is "three billion, four hundred twenty million, four hundred thirty thousand, four hundred twenty".