3327541410816 has 1056 divisors, whose sum is σ = 12492267840000. Its totient is φ = 847446147072.

The previous prime is 3327541410757. The next prime is 3327541410829. The reversal of 3327541410816 is 6180141457233.

3327541410816 is a `hidden beast` number, since 3 + 3 + 27 + 541 + 4 + 1 + 0 + 81 + 6 = 666.

It is a super-2 number, since 2×3327541410816² (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 95 ways as a sum of consecutive naturals, for example, 1021029795 + ... + 1021033053.

Almost surely, 2^{3327541410816} is an apocalyptic number.

3327541410816 is a gapful number since it is divisible by the number (36) 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 3327541410816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6246133920000).

3327541410816 is an abundant number, since it is smaller than the sum of its proper divisors (9164726429184).

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

3327541410816 is a wasteful number, since it uses less digits than its factorization.

3327541410816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342 (or 3307 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 3327541410816 in words is "three trillion, three hundred twenty-seven billion, five hundred forty-one million, four hundred ten thousand, eight hundred sixteen".