3272886697248 has 672 divisors, whose sum is σ = 11646051056640. Its totient is φ = 884065881600.

The previous prime is 3272886697231. The next prime is 3272886697253. The reversal of 3272886697248 is 8427966882723.

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

It is a super-2 number, since 2×3272886697248² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

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 111 ways as a sum of consecutive naturals, for example, 2255606923 + ... + 2255608373.

It is an arithmetic number, because the mean of its divisors is an integer number (17330433120).

Almost surely, 2^{3272886697248} is an apocalyptic number.

3272886697248 is a gapful number since it is divisible by the number (38) 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 3272886697248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5823025528320).

3272886697248 is an abundant number, since it is smaller than the sum of its proper divisors (8373164359392).

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

3272886697248 is a wasteful number, since it uses less digits than its factorization.

3272886697248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 2209 counting only the distinct ones).

The product of its digits is 780337152, while the sum is 72.

The spelling of 3272886697248 in words is "three trillion, two hundred seventy-two billion, eight hundred eighty-six million, six hundred ninety-seven thousand, two hundred forty-eight".