3206272696320 has 240 divisors, whose sum is σ = 10322831796480. Its totient is φ = 849749999616.

The previous prime is 3206272696247. The next prime is 3206272696343. The reversal of 3206272696320 is 236962726023.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3206272696320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40018861 + ... + 40098899.

It is an arithmetic number, because the mean of its divisors is an integer number (43011799152).

Almost surely, 2^{3206272696320} is an apocalyptic number.

3206272696320 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 3206272696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5161415898240).

3206272696320 is an abundant number, since it is smaller than the sum of its proper divisors (7116559100160).

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

3206272696320 is an equidigital number, since it uses as much as digits as its factorization.

3206272696320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80238 (or 80212 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 48.

The spelling of 3206272696320 in words is "three trillion, two hundred six billion, two hundred seventy-two million, six hundred ninety-six thousand, three hundred twenty".