3420343680 has 384 divisors, whose sum is σ = 12041809920. Its totient is φ = 825237504.

The previous prime is 3420343673. The next prime is 3420343699. The reversal of 3420343680 is 863430243.

3420343680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×3420343680³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26931777 + ... + 26931903.

It is an arithmetic number, because the mean of its divisors is an integer number (31358880).

Almost surely, 2^3420343680 is an apocalyptic number.

3420343680 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 3420343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6020904960).

3420343680 is an abundant number, since it is smaller than the sum of its proper divisors (8621466240).

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

3420343680 is a wasteful number, since it uses less digits than its factorization.

3420343680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 3420343680 is about 58483.7043970370. The cubic root of 3420343680 is about 1506.6877208360.

The spelling of 3420343680 in words is "three billion, four hundred twenty million, three hundred forty-three thousand, six hundred eighty".