3084583887420 has 192 divisors, whose sum is σ = 10083525580800. Its totient is φ = 704248710144.

The previous prime is 3084583887419. The next prime is 3084583887431. The reversal of 3084583887420 is 247883854803.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18169972 + ... + 18338948.

It is an arithmetic number, because the mean of its divisors is an integer number (52518362400).

Almost surely, 2^{3084583887420} is an apocalyptic number.

3084583887420 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 3084583887420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5041762790400).

3084583887420 is an abundant number, since it is smaller than the sum of its proper divisors (6998941693380).

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

3084583887420 is a wasteful number, since it uses less digits than its factorization.

3084583887420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169897 (or 169881 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 60.

The spelling of 3084583887420 in words is "three trillion, eighty-four billion, five hundred eighty-three million, eight hundred eighty-seven thousand, four hundred twenty".