3352937605344 has 240 divisors, whose sum is σ = 10239805144800. Its totient is φ = 1075446927360.

The previous prime is 3352937605343. The next prime is 3352937605357. The reversal of 3352937605344 is 4435067392533.

3352937605344 is a `hidden beast` number, since 3 + 3 + 5 + 29 + 3 + 7 + 605 + 3 + 4 + 4 = 666.

It is a super-2 number, since 2×3352937605344² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3352937605343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7541757 + ... + 7973955.

It is an arithmetic number, because the mean of its divisors is an integer number (42665854770).

Almost surely, 2^{3352937605344} 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 3352937605344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5119902572400).

3352937605344 is an abundant number, since it is smaller than the sum of its proper divisors (6886867539456).

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

3352937605344 is a wasteful number, since it uses less digits than its factorization.

3352937605344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432335 (or 432318 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 54.

The spelling of 3352937605344 in words is "three trillion, three hundred fifty-two billion, nine hundred thirty-seven million, six hundred five thousand, three hundred forty-four".