3300415417728 has 768 divisors, whose sum is σ = 11616583507200. Its totient is φ = 914374656000.

The previous prime is 3300415417727. The next prime is 3300415417769. The reversal of 3300415417728 is 8277145140033.

3300415417728 is a `hidden beast` number, since 3 + 30 + 0 + 4 + 1 + 541 + 7 + 72 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3300415417727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 687440928 + ... + 687445728.

It is an arithmetic number, because the mean of its divisors is an integer number (15125759775).

Almost surely, 2^{3300415417728} 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 3300415417728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5808291753600).

3300415417728 is an abundant number, since it is smaller than the sum of its proper divisors (8316168089472).

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

3300415417728 is a wasteful number, since it uses less digits than its factorization.

3300415417728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4968 (or 4937 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 3300415417728 in words is "three trillion, three hundred billion, four hundred fifteen million, four hundred seventeen thousand, seven hundred twenty-eight".