3234665064960 has 960 divisors, whose sum is σ = 13612463175168. Its totient is φ = 693820588032.

The previous prime is 3234665064949. The next prime is 3234665064971. The reversal of 3234665064960 is 694605664323.

3234665064960 is a `hidden beast` number, since 3 + 2 + 3 + 46 + 6 + 506 + 4 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3234665064949) and next prime (3234665064971).

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 3234665064897 and 3234665064906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 196592094 + ... + 196608546.

Almost surely, 2^{3234665064960} is an apocalyptic number.

3234665064960 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 3234665064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6806231587584).

3234665064960 is an abundant number, since it is smaller than the sum of its proper divisors (10377798110208).

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

3234665064960 is a wasteful number, since it uses less digits than its factorization.

3234665064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16565 (or 16546 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 54.

The spelling of 3234665064960 in words is "three trillion, two hundred thirty-four billion, six hundred sixty-five million, sixty-four thousand, nine hundred sixty".