3009620640 has 192 divisors, whose sum is σ = 10350982656. Its totient is φ = 730570752.

The previous prime is 3009620639. The next prime is 3009620651. The reversal of 3009620640 is 460269003.

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

It is a junction number, because it is equal to n+sod(n) for n = 3009620598 and 3009620607.

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, 452217 + ... + 458823.

It is an arithmetic number, because the mean of its divisors is an integer number (53911368).

Almost surely, 2^3009620640 is an apocalyptic number.

3009620640 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 3009620640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5175491328).

3009620640 is an abundant number, since it is smaller than the sum of its proper divisors (7341362016).

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

3009620640 is a wasteful number, since it uses less digits than its factorization.

3009620640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6711 (or 6703 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3009620640 is about 54860.0094786722. The cubic root of 3009620640 is about 1443.7896323147.

Adding to 3009620640 its reverse (460269003), we get a palindrome (3469889643).

The spelling of 3009620640 in words is "three billion, nine million, six hundred twenty thousand, six hundred forty".