3009509880 has 256 divisors, whose sum is σ = 10052259840. Its totient is φ = 716083200.

The previous prime is 3009509869. The next prime is 3009509917. The reversal of 3009509880 is 889059003.

It is a Cunningham number, because it is equal to 54859²-1.

It is a super-2 number, since 2×3009509880² = 18114299435635228800, which contains 22 as substring.

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, 13495449 + ... + 13495671.

It is an arithmetic number, because the mean of its divisors is an integer number (39266640).

Almost surely, 2^3009509880 is an apocalyptic number.

3009509880 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 3009509880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5026129920).

3009509880 is an abundant number, since it is smaller than the sum of its proper divisors (7042749960).

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

3009509880 is a wasteful number, since it uses less digits than its factorization.

3009509880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 3009509880 is about 54858.9999908857. Note that the first 5 decimals coincide. The cubic root of 3009509880 is about 1443.7719206582.

The spelling of 3009509880 in words is "three billion, nine million, five hundred nine thousand, eight hundred eighty".