3355330322400 has 288 divisors, whose sum is σ = 12912238563840. Its totient is φ = 740486584320.

The previous prime is 3355330322387. The next prime is 3355330322441. The reversal of 3355330322400 is 42230335533.

3355330322400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3355330322400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2956284 + ... + 3930683.

It is an arithmetic number, because the mean of its divisors is an integer number (44834161680).

Almost surely, 2^{3355330322400} is an apocalyptic number.

3355330322400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3355330322400 is an abundant number, since it is smaller than the sum of its proper divisors (9556908241440).

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

3355330322400 is a wasteful number, since it uses less digits than its factorization.

3355330322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6887026 (or 6887013 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 33.

Adding to 3355330322400 its reverse (42230335533), we get a palindrome (3397560657933).

The spelling of 3355330322400 in words is "three trillion, three hundred fifty-five billion, three hundred thirty million, three hundred twenty-two thousand, four hundred".