3352234346496 has 336 divisors, whose sum is σ = 11485350676800. Its totient is φ = 957778255872.

The previous prime is 3352234346429. The next prime is 3352234346497. The reversal of 3352234346496 is 6946434322533.

3352234346496 is a `hidden beast` number, since 3 + 3 + 52 + 2 + 3 + 43 + 464 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×3352234346496³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3352234346497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10290565 + ... + 10611323.

It is an arithmetic number, because the mean of its divisors is an integer number (34182591300).

Almost surely, 2^{3352234346496} is an apocalyptic number.

3352234346496 is a gapful number since it is divisible by the number (36) 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 3352234346496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5742675338400).

3352234346496 is an abundant number, since it is smaller than the sum of its proper divisors (8133116330304).

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

3352234346496 is an frugal number, since it uses more digits than its factorization.

3352234346496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320806 (or 320771 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 54.

The spelling of 3352234346496 in words is "three trillion, three hundred fifty-two billion, two hundred thirty-four million, three hundred forty-six thousand, four hundred ninety-six".