3266856230400 has 2880 divisors, whose sum is σ = 14960417472000. Its totient is φ = 689403985920.

The previous prime is 3266856230353. The next prime is 3266856230441. The reversal of 3266856230400 is 40326586623.

It is a happy number.

3266856230400 is a `hidden beast` number, since 3 + 2 + 6 + 6 + 8 + 5 + 6 + 230 + 400 = 666.

3266856230400 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 (2880).

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 287 ways as a sum of consecutive naturals, for example, 21925209526 + ... + 21925209674.

It is an arithmetic number, because the mean of its divisors is an integer number (5194589400).

Almost surely, 2^{3266856230400} is an apocalyptic number.

3266856230400 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 3266856230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7480208736000).

3266856230400 is an abundant number, since it is smaller than the sum of its proper divisors (11693561241600).

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

3266856230400 is a wasteful number, since it uses less digits than its factorization.

3266856230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 3266856230400 in words is "three trillion, two hundred sixty-six billion, eight hundred fifty-six million, two hundred thirty thousand, four hundred".