3300093081600 has 864 divisors, whose sum is σ = 12931822154160. Its totient is φ = 739985326080.

The previous prime is 3300093081589. The next prime is 3300093081641. The reversal of 3300093081600 is 61803900033.

It is a super-2 number, since 2×3300093081600² (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 71 ways as a sum of consecutive naturals, for example, 398895064 + ... + 398903336.

Almost surely, 2^{3300093081600} is an apocalyptic number.

3300093081600 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 3300093081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6465911077080).

3300093081600 is an abundant number, since it is smaller than the sum of its proper divisors (9631729072560).

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

3300093081600 is a wasteful number, since it uses less digits than its factorization.

3300093081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8375 (or 8343 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

Adding to 3300093081600 its reverse (61803900033), we get a palindrome (3361896981633).

The spelling of 3300093081600 in words is "three trillion, three hundred billion, ninety-three million, eighty-one thousand, six hundred".