3009359388672 has 2016 divisors, whose sum is σ = 11811990965760. Its totient is φ = 753582735360.

The previous prime is 3009359388667. The next prime is 3009359388689. The reversal of 3009359388672 is 2768839539003.

3009359388672 is a `hidden beast` number, since 30 + 0 + 9 + 3 + 593 + 8 + 8 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 56780365798 + ... + 56780365850.

Almost surely, 2^{3009359388672} is an apocalyptic number.

3009359388672 is a gapful number since it is divisible by the number (32) 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 3009359388672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5905995482880).

3009359388672 is an abundant number, since it is smaller than the sum of its proper divisors (8802631577088).

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

3009359388672 is a wasteful number, since it uses less digits than its factorization.

3009359388672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 3009359388672 in words is "three trillion, nine billion, three hundred fifty-nine million, three hundred eighty-eight thousand, six hundred seventy-two".