3420003420 has 144 divisors (see below), whose sum is σ = 11029243680. Its totient is φ = 855360000.

The previous prime is 3420003413. The next prime is 3420003427. The reversal of 3420003420 is 243000243.

It is an interprime number because it is at equal distance from previous prime (3420003413) and next prime (3420003427).

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 = 3420003393 and 3420003402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420003427) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 340470 + ... + 350370.

It is an arithmetic number, because the mean of its divisors is an integer number (76591970).

Almost surely, 2^3420003420 is an apocalyptic number.

3420003420 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 3420003420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5514621840).

3420003420 is an abundant number, since it is smaller than the sum of its proper divisors (7609240260).

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

3420003420 is a wasteful number, since it uses less digits than its factorization.

3420003420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10036 (or 10031 counting only the distinct ones).

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

The square root of 3420003420 is about 58480.7953092295. The cubic root of 3420003420 is about 1506.6377567960.

Adding to 3420003420 its reverse (243000243), we get a palindrome (3663003663).

It can be divided in two parts, 342000 and 3420, that multiplied together give a square (1169640000 = 34200²).

The spelling of 3420003420 in words is "three billion, four hundred twenty million, three thousand, four hundred twenty".