3352359628800 has 1872 divisors, whose sum is σ = 15013142097408. Its totient is φ = 696110284800.

The previous prime is 3352359628789. The next prime is 3352359628801. The reversal of 3352359628800 is 88269532533.

3352359628800 is a `hidden beast` number, since 3 + 3 + 5 + 2 + 3 + 5 + 9 + 628 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a super-2 number, since 2×3352359628800² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3352359628801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5954457319 + ... + 5954457881.

It is an arithmetic number, because the mean of its divisors is an integer number (8019840864).

Almost surely, 2^{3352359628800} is an apocalyptic number.

3352359628800 is a gapful number since it is divisible by the number (30) 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 3352359628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7506571048704).

3352359628800 is an abundant number, since it is smaller than the sum of its proper divisors (11660782468608).

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

3352359628800 is a wasteful number, since it uses less digits than its factorization.

3352359628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 3352359628800 in words is "three trillion, three hundred fifty-two billion, three hundred fifty-nine million, six hundred twenty-eight thousand, eight hundred".