3211867226880 has 1728 divisors, whose sum is σ = 13164236467200. Its totient is φ = 739090759680.

The previous prime is 3211867226849. The next prime is 3211867226921. The reversal of 3211867226880 is 886227681123.

3211867226880 is a `hidden beast` number, since 321 + 18 + 6 + 7 + 226 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×3211867226880³ (a number of 38 digits) contains 333 as substring.

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 191 ways as a sum of consecutive naturals, for example, 11430132340 + ... + 11430132620.

It is an arithmetic number, because the mean of its divisors is an integer number (7618192400).

Almost surely, 2^{3211867226880} is an apocalyptic number.

3211867226880 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 3211867226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6582118233600).

3211867226880 is an abundant number, since it is smaller than the sum of its proper divisors (9952369240320).

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

3211867226880 is a wasteful number, since it uses less digits than its factorization.

3211867226880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 3211867226880 in words is "three trillion, two hundred eleven billion, eight hundred sixty-seven million, two hundred twenty-six thousand, eight hundred eighty".