3261499466400 has 864 divisors, whose sum is σ = 13724440329600. Its totient is φ = 728125009920.

The previous prime is 3261499466341. The next prime is 3261499466437. The reversal of 3261499466400 is 46649941623.

3261499466400 is a `hidden beast` number, since 3 + 2 + 6 + 149 + 94 + 6 + 6 + 400 = 666.

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, 106177444 + ... + 106208156.

It is an arithmetic number, because the mean of its divisors is an integer number (15884768900).

Almost surely, 2^{3261499466400} is an apocalyptic number.

3261499466400 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 3261499466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6862220164800).

3261499466400 is an abundant number, since it is smaller than the sum of its proper divisors (10462940863200).

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

3261499466400 is a wasteful number, since it uses less digits than its factorization.

3261499466400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30803 (or 30773 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 3261499466400 in words is "three trillion, two hundred sixty-one billion, four hundred ninety-nine million, four hundred sixty-six thousand, four hundred".