3209494489344 has 288 divisors, whose sum is σ = 11150315971200. Its totient is φ = 897760419840.

The previous prime is 3209494489321. The next prime is 3209494489349. The reversal of 3209494489344 is 4439844949023.

It is a happy number.

3209494489344 is a `hidden beast` number, since 3 + 20 + 9 + 4 + 94 + 489 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (3209494489349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 635139 + ... + 2611970.

It is an arithmetic number, because the mean of its divisors is an integer number (38716374900).

Almost surely, 2^{3209494489344} 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 3209494489344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5575157985600).

3209494489344 is an abundant number, since it is smaller than the sum of its proper divisors (7940821481856).

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

3209494489344 is a wasteful number, since it uses less digits than its factorization.

3209494489344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3247158 (or 3247138 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 63.

The spelling of 3209494489344 in words is "three trillion, two hundred nine billion, four hundred ninety-four million, four hundred eighty-nine thousand, three hundred forty-four".