3083871840 has 192 divisors, whose sum is σ = 11329113600. Its totient is φ = 704847360.

The previous prime is 3083871839. The next prime is 3083871853. The reversal of 3083871840 is 481783803.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3083871792 and 3083871801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155275 + ... + 174005.

It is an arithmetic number, because the mean of its divisors is an integer number (59005800).

Almost surely, 2^3083871840 is an apocalyptic number.

3083871840 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 3083871840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5664556800).

3083871840 is an abundant number, since it is smaller than the sum of its proper divisors (8245241760).

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

3083871840 is a wasteful number, since it uses less digits than its factorization.

3083871840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18770 (or 18748 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 3083871840 is about 55532.6196032566. The cubic root of 3083871840 is about 1455.5666856515.

The spelling of 3083871840 in words is "three billion, eighty-three million, eight hundred seventy-one thousand, eight hundred forty".