3268000834560 has 3168 divisors, whose sum is σ = 15286898006016. Its totient is φ = 630639820800.

The previous prime is 3268000834517. The next prime is 3268000834619. The reversal of 3268000834560 is 654380008623.

It is a happy number.

3268000834560 is a `hidden beast` number, since 3 + 2 + 6 + 8 + 0 + 0 + 0 + 83 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 44767134684 + ... + 44767134756.

Almost surely, 2^{3268000834560} is an apocalyptic number.

3268000834560 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 3268000834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7643449003008).

3268000834560 is an abundant number, since it is smaller than the sum of its proper divisors (12018897171456).

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

3268000834560 is a wasteful number, since it uses less digits than its factorization.

3268000834560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3268000834560 in words is "three trillion, two hundred sixty-eight billion, eight hundred thirty-four thousand, five hundred sixty".