3309448936164 has 192 divisors, whose sum is σ = 9510698588160. Its totient is φ = 874500157440.

The previous prime is 3309448936133. The next prime is 3309448936177. The reversal of 3309448936164 is 4616398449033.

It is a super-3 number, since 3×3309448936164³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3309448936098 and 3309448936107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142803282 + ... + 142826454.

It is an arithmetic number, because the mean of its divisors is an integer number (49534888480).

Almost surely, 2^{3309448936164} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3309448936164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755349294080).

3309448936164 is an abundant number, since it is smaller than the sum of its proper divisors (6201249651996).

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

3309448936164 is a wasteful number, since it uses less digits than its factorization.

3309448936164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25330 (or 25328 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 60.

The spelling of 3309448936164 in words is "three trillion, three hundred nine billion, four hundred forty-eight million, nine hundred thirty-six thousand, one hundred sixty-four".