3009031438336 has 345 divisors, whose sum is σ = 7700615396895. Its totient is φ = 1172349911040.

The previous prime is 3009031438307. The next prime is 3009031438349. The reversal of 3009031438336 is 6338341309003.

The square root of 3009031438336 is 1734656.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3009031438292 and 3009031438301.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 273548312571 + ... + 273548312581.

Almost surely, 2^{3009031438336} is an apocalyptic number.

3009031438336 is the 1734656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3009031438336

3009031438336 is an abundant number, since it is smaller than the sum of its proper divisors (4691583958559).

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

3009031438336 is an frugal number, since it uses more digits than its factorization.

3009031438336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 43.

The spelling of 3009031438336 in words is "three trillion, nine billion, thirty-one million, four hundred thirty-eight thousand, three hundred thirty-six".