3269300311872 has 672 divisors, whose sum is σ = 11384642102400. Its totient is φ = 917156265984.

The previous prime is 3269300311861. The next prime is 3269300311891. The reversal of 3269300311872 is 2781130039623.

3269300311872 is a `hidden beast` number, since 3 + 26 + 9 + 300 + 311 + 8 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 1215803904 + ... + 1215806592.

It is an arithmetic number, because the mean of its divisors is an integer number (16941431700).

Almost surely, 2^{3269300311872} is an apocalyptic number.

3269300311872 is a gapful number since it is divisible by the number (32) 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 3269300311872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5692321051200).

3269300311872 is an abundant number, since it is smaller than the sum of its proper divisors (8115341790528).

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

3269300311872 is a wasteful number, since it uses less digits than its factorization.

3269300311872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2980 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 3269300311872 in words is "three trillion, two hundred sixty-nine billion, three hundred million, three hundred eleven thousand, eight hundred seventy-two".