3286629198720 has 1536 divisors, whose sum is σ = 13836752553600. Its totient is φ = 744190820352.

The previous prime is 3286629198667. The next prime is 3286629198739. The reversal of 3286629198720 is 278919266823.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11865087222 + ... + 11865087498.

Almost surely, 2^{3286629198720} is an apocalyptic number.

3286629198720 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 3286629198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6918376276800).

3286629198720 is an abundant number, since it is smaller than the sum of its proper divisors (10550123354880).

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

3286629198720 is an equidigital number, since it uses as much as digits as its factorization.

3286629198720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 3286629198720 in words is "three trillion, two hundred eighty-six billion, six hundred twenty-nine million, one hundred ninety-eight thousand, seven hundred twenty".