3083420340 has 576 divisors, whose sum is σ = 12753861120. Its totient is φ = 582266880.

The previous prime is 3083420317. The next prime is 3083420341. The reversal of 3083420340 is 430243803.

3083420340 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3083420341) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19639542 + ... + 19639698.

It is an arithmetic number, because the mean of its divisors is an integer number (22142120).

Almost surely, 2^3083420340 is an apocalyptic number.

3083420340 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 3083420340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6376930560).

3083420340 is an abundant number, since it is smaller than the sum of its proper divisors (9670440780).

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

3083420340 is a wasteful number, since it uses less digits than its factorization.

3083420340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3083420340 is about 55528.5542761560. The cubic root of 3083420340 is about 1455.4956472007.

The spelling of 3083420340 in words is "three billion, eighty-three million, four hundred twenty thousand, three hundred forty".