3226098113280 has 432 divisors, whose sum is σ = 13311168998400. Its totient is φ = 705332846592.

The previous prime is 3226098113239. The next prime is 3226098113297. The reversal of 3226098113280 is 823118906223.

3226098113280 is a `hidden beast` number, since 3 + 2 + 2 + 609 + 8 + 1 + 1 + 32 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 985021 + ... + 2724419.

It is an arithmetic number, because the mean of its divisors is an integer number (30812891200).

Almost surely, 2^{3226098113280} is an apocalyptic number.

3226098113280 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 3226098113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6655584499200).

3226098113280 is an abundant number, since it is smaller than the sum of its proper divisors (10085070885120).

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

3226098113280 is a wasteful number, since it uses less digits than its factorization.

3226098113280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739456 (or 1739439 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 3226098113280 in words is "three trillion, two hundred twenty-six billion, ninety-eight million, one hundred thirteen thousand, two hundred eighty".