3009197967616 has 81 divisors (see below), whose sum is σ = 6050110790073. Its totient is φ = 1493788308480.

The previous prime is 3009197967577. The next prime is 3009197967667. The reversal of 3009197967616 is 6167697919003.

The square root of 3009197967616 is 1734704.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 33158953216 + 2976039014400 = 182096^2 + 1725120^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5023702485 + ... + 5023703083.

Almost surely, 2^{3009197967616} is an apocalyptic number.

3009197967616 is the 1734704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3009197967616

3009197967616 is an abundant number, since it is smaller than the sum of its proper divisors (3040912822457).

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

3009197967616 is an frugal number, since it uses more digits than its factorization.

3009197967616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 23147208, while the sum is 64.

Multiplying 3009197967616 by its sum of digits (64), we get a square (192588669927424 = 13877632²).

3009197967616 divided by its sum of digits (64) gives a square (47018718244 = 216838²).

The spelling of 3009197967616 in words is "three trillion, nine billion, one hundred ninety-seven million, nine hundred sixty-seven thousand, six hundred sixteen".