3269506800120 has 256 divisors, whose sum is σ = 10731780149760. Its totient is φ = 790272000000.

The previous prime is 3269506800071. The next prime is 3269506800163. The reversal of 3269506800120 is 210086059623.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1167262720 + ... + 1167265520.

It is an arithmetic number, because the mean of its divisors is an integer number (41921016210).

Almost surely, 2^{3269506800120} is an apocalyptic number.

3269506800120 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 3269506800120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5365890074880).

3269506800120 is an abundant number, since it is smaller than the sum of its proper divisors (7462273349640).

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

3269506800120 is a wasteful number, since it uses less digits than its factorization.

3269506800120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5118 (or 5114 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 3269506800120 in words is "three trillion, two hundred sixty-nine billion, five hundred six million, eight hundred thousand, one hundred twenty".