3286466327040 has 640 divisors, whose sum is σ = 11422218931200. Its totient is φ = 801330167808.

The previous prime is 3286466327021. The next prime is 3286466327041. The reversal of 3286466327040 is 407236646823.

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (3286466327041) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8954948937 + ... + 8954949303.

It is an arithmetic number, because the mean of its divisors is an integer number (17847217080).

Almost surely, 2^{3286466327040} is an apocalyptic number.

3286466327040 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 3286466327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5711109465600).

3286466327040 is an abundant number, since it is smaller than the sum of its proper divisors (8135752604160).

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

3286466327040 is a wasteful number, since it uses less digits than its factorization.

3286466327040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 51.

The spelling of 3286466327040 in words is "three trillion, two hundred eighty-six billion, four hundred sixty-six million, three hundred twenty-seven thousand, forty".