3256573420800 has 3456 divisors, whose sum is σ = 15416613273600. Its totient is φ = 655483207680.

The previous prime is 3256573420747. The next prime is 3256573420811. The reversal of 3256573420800 is 80243756523.

3256573420800 is a `hidden beast` number, since 3 + 2 + 56 + 573 + 4 + 20 + 8 + 0 + 0 = 666.

3256573420800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×3256573420800² (a number of 26 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 25642310337 + ... + 25642310463.

It is an arithmetic number, because the mean of its divisors is an integer number (4460825600).

Almost surely, 2^{3256573420800} is an apocalyptic number.

3256573420800 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 3256573420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7708306636800).

3256573420800 is an abundant number, since it is smaller than the sum of its proper divisors (12160039852800).

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

3256573420800 is a wasteful number, since it uses less digits than its factorization.

3256573420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 3256573420800 in words is "three trillion, two hundred fifty-six billion, five hundred seventy-three million, four hundred twenty thousand, eight hundred".