3204666840960 has 1280 divisors, whose sum is σ = 13028560776000. Its totient is φ = 744154988544.

The previous prime is 3204666840923. The next prime is 3204666841001. The reversal of 3204666840960 is 690486664023.

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

It is a junction number, because it is equal to n+sod(n) for n = 3204666840897 and 3204666840906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4519981086 + ... + 4519981794.

Almost surely, 2^{3204666840960} is an apocalyptic number.

3204666840960 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 3204666840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6514280388000).

3204666840960 is an abundant number, since it is smaller than the sum of its proper divisors (9823893935040).

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

3204666840960 is a wasteful number, since it uses less digits than its factorization.

3204666840960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 3204666840960 in words is "three trillion, two hundred four billion, six hundred sixty-six million, eight hundred forty thousand, nine hundred sixty".