3249267320880 has 960 divisors, whose sum is σ = 13626563558400. Its totient is φ = 677012152320.

The previous prime is 3249267320869. The next prime is 3249267320911. The reversal of 3249267320880 is 880237629423.

3249267320880 is a `hidden beast` number, since 3 + 2 + 492 + 6 + 73 + 2 + 0 + 8 + 80 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 880319835 + ... + 880323525.

It is an arithmetic number, because the mean of its divisors is an integer number (14194337040).

Almost surely, 2^{3249267320880} is an apocalyptic number.

3249267320880 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 3249267320880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6813281779200).

3249267320880 is an abundant number, since it is smaller than the sum of its proper divisors (10377296237520).

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

3249267320880 is a wasteful number, since it uses less digits than its factorization.

3249267320880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4082 (or 4073 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 3249267320880 in words is "three trillion, two hundred forty-nine billion, two hundred sixty-seven million, three hundred twenty thousand, eight hundred eighty".