3254787916800 has 1320 divisors, whose sum is σ = 13224083440800. Its totient is φ = 704037519360.

The previous prime is 3254787916799. The next prime is 3254787916811. The reversal of 3254787916800 is 86197874523.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 119 ways as a sum of consecutive naturals, for example, 3503538736 + ... + 3503539664.

It is a 1-persistent number, because it is pandigital, but 2⋅3254787916800 = 6509575833600 is not.

Almost surely, 2^{3254787916800} is an apocalyptic number.

3254787916800 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 3254787916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6612041720400).

3254787916800 is an abundant number, since it is smaller than the sum of its proper divisors (9969295524000).

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

3254787916800 is an equidigital number, since it uses as much as digits as its factorization.

3254787916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The spelling of 3254787916800 in words is "three trillion, two hundred fifty-four billion, seven hundred eighty-seven million, nine hundred sixteen thousand, eight hundred".