3258255974400 has 2016 divisors, whose sum is σ = 14197691289600. Its totient is φ = 725235793920.

The previous prime is 3258255974377. The next prime is 3258255974411. The reversal of 3258255974400 is 44795528523.

3258255974400 is a `hidden beast` number, since 3 + 2 + 5 + 8 + 2 + 5 + 597 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

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 143 ways as a sum of consecutive naturals, for example, 16373145501 + ... + 16373145699.

It is an arithmetic number, because the mean of its divisors is an integer number (7042505600).

Almost surely, 2^{3258255974400} is an apocalyptic number.

3258255974400 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 3258255974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7098845644800).

3258255974400 is an abundant number, since it is smaller than the sum of its proper divisors (10939435315200).

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

3258255974400 is an equidigital number, since it uses as much as digits as its factorization.

3258255974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 3258255974400 in words is "three trillion, two hundred fifty-eight billion, two hundred fifty-five million, nine hundred seventy-four thousand, four hundred".