3083240820 has 96 divisors (see below), whose sum is σ = 9429590016. Its totient is φ = 746524800.

The previous prime is 3083240807. The next prime is 3083240851. The reversal of 3083240820 is 280423803.

It is a super-2 number, since 2×3083240820² = 19012747908228544800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 635805 + ... + 640635.

It is an arithmetic number, because the mean of its divisors is an integer number (98224896).

Almost surely, 2^3083240820 is an apocalyptic number.

3083240820 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 3083240820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4714795008).

3083240820 is an abundant number, since it is smaller than the sum of its proper divisors (6346349196).

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

3083240820 is a wasteful number, since it uses less digits than its factorization.

3083240820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5821 (or 5819 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 3083240820 is about 55526.9377869877. The cubic root of 3083240820 is about 1455.4673998195.

The spelling of 3083240820 in words is "three billion, eighty-three million, two hundred forty thousand, eight hundred twenty".