3430002420 has 288 divisors, whose sum is σ = 11826307584. Its totient is φ = 798336000.

The previous prime is 3430002413. The next prime is 3430002421. The reversal of 3430002420 is 242000343.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3430002393 and 3430002402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430002421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5435505 + ... + 5436135.

It is an arithmetic number, because the mean of its divisors is an integer number (41063568).

Almost surely, 2^3430002420 is an apocalyptic number.

3430002420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3430002420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5913153792).

3430002420 is an abundant number, since it is smaller than the sum of its proper divisors (8396305164).

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

3430002420 is a wasteful number, since it uses less digits than its factorization.

3430002420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3430002420 is about 58566.2225177619. Note that the first 3 decimals coincide. The cubic root of 3430002420 is about 1508.1046376979.

Adding to 3430002420 its reverse (242000343), we get a palindrome (3672002763).

The spelling of 3430002420 in words is "three billion, four hundred thirty million, two thousand, four hundred twenty".