3300453088128 has 768 divisors, whose sum is σ = 11827978344000. Its totient is φ = 902528040960.

The previous prime is 3300453088033. The next prime is 3300453088171. The reversal of 3300453088128 is 8218803540033.

3300453088128 is a `hidden beast` number, since 3 + 30 + 0 + 4 + 530 + 8 + 81 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 367980028 + ... + 367988996.

Almost surely, 2^{3300453088128} 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 3300453088128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5913989172000).

3300453088128 is an abundant number, since it is smaller than the sum of its proper divisors (8527525255872).

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

3300453088128 is a wasteful number, since it uses less digits than its factorization.

3300453088128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9100 (or 9075 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 3300453088128 in words is "three trillion, three hundred billion, four hundred fifty-three million, eighty-eight thousand, one hundred twenty-eight".