3009808620 has 432 divisors, whose sum is σ = 11882445120. Its totient is φ = 600431616.

The previous prime is 3009808619. The next prime is 3009808649. The reversal of 3009808620 is 268089003.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5912926 + ... + 5913434.

It is an arithmetic number, because the mean of its divisors is an integer number (27505660).

Almost surely, 2^3009808620 is an apocalyptic number.

3009808620 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 3009808620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5941222560).

3009808620 is an abundant number, since it is smaller than the sum of its proper divisors (8872636500).

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

3009808620 is a wasteful number, since it uses less digits than its factorization.

3009808620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3009808620 is about 54861.7227217666. The cubic root of 3009808620 is about 1443.8196912443.

The spelling of 3009808620 in words is "three billion, nine million, eight hundred eight thousand, six hundred twenty".