3328771846320 has 400 divisors, whose sum is σ = 11970017753760. Its totient is φ = 856344158208.

The previous prime is 3328771846297. The next prime is 3328771846321. The reversal of 3328771846320 is 236481778233.

3328771846320 is a `hidden beast` number, since 3 + 32 + 87 + 71 + 8 + 463 + 2 + 0 = 666.

It is a super-2 number, since 2×3328771846320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3328771846321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 245604664 + ... + 245618216.

Almost surely, 2^{3328771846320} is an apocalyptic number.

3328771846320 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 3328771846320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5985008876880).

3328771846320 is an abundant number, since it is smaller than the sum of its proper divisors (8641245907440).

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

3328771846320 is a wasteful number, since it uses less digits than its factorization.

3328771846320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14914 (or 14899 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 3328771846320 in words is "three trillion, three hundred twenty-eight billion, seven hundred seventy-one million, eight hundred forty-six thousand, three hundred twenty".