3251723304960 has 1680 divisors, whose sum is σ = 13641883368960. Its totient is φ = 733835427840.

The previous prime is 3251723304913. The next prime is 3251723304971. The reversal of 3251723304960 is 694033271523.

3251723304960 is a `hidden beast` number, since 3 + 2 + 517 + 2 + 3 + 30 + 49 + 60 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 104894300145 + ... + 104894300175.

It is an arithmetic number, because the mean of its divisors is an integer number (8120168672).

Almost surely, 2^{3251723304960} is an apocalyptic number.

3251723304960 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 3251723304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6820941684480).

3251723304960 is an abundant number, since it is smaller than the sum of its proper divisors (10390160064000).

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

3251723304960 is an frugal number, since it uses more digits than its factorization.

3251723304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 3251723304960 in words is "three trillion, two hundred fifty-one billion, seven hundred twenty-three million, three hundred four thousand, nine hundred sixty".