3009667488 has 288 divisors, whose sum is σ = 9188665920. Its totient is φ = 857088000.

The previous prime is 3009667483. The next prime is 3009667499. The reversal of 3009667488 is 8847669003.

It is a super-3 number, since 3×3009667488³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 3009667488.

It is not an unprimeable number, because it can be changed into a prime (3009667483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29798638 + ... + 29798738.

It is an arithmetic number, because the mean of its divisors is an integer number (31905090).

Almost surely, 2^3009667488 is an apocalyptic number.

3009667488 is a gapful number since it is divisible by the number (38) 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 3009667488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4594332960).

3009667488 is an abundant number, since it is smaller than the sum of its proper divisors (6178998432).

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

3009667488 is a wasteful number, since it uses less digits than its factorization.

3009667488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 3009667488 is about 54860.4364546984. The cubic root of 3009667488 is about 1443.7971236582.

The spelling of 3009667488 in words is "three billion, nine million, six hundred sixty-seven thousand, four hundred eighty-eight".