3269820799728 has 320 divisors, whose sum is σ = 11391732311040. Its totient is φ = 876618547200.

The previous prime is 3269820799727. The next prime is 3269820799747. The reversal of 3269820799728 is 8279970289623.

3269820799728 is a `hidden beast` number, since 3 + 269 + 8 + 207 + 99 + 72 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3269820799723) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16919968 + ... + 17112128.

It is an arithmetic number, because the mean of its divisors is an integer number (35599163472).

Almost surely, 2^{3269820799728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3269820799728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5695866155520).

3269820799728 is an abundant number, since it is smaller than the sum of its proper divisors (8121911511312).

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

3269820799728 is a wasteful number, since it uses less digits than its factorization.

3269820799728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192533 (or 192521 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 3269820799728 in words is "three trillion, two hundred sixty-nine billion, eight hundred twenty million, seven hundred ninety-nine thousand, seven hundred twenty-eight".