3226180478976 has 768 divisors, whose sum is σ = 11985033715200. Its totient is φ = 834737799168.

The previous prime is 3226180478951. The next prime is 3226180478987. The reversal of 3226180478976 is 6798740816223.

3226180478976 is a `hidden beast` number, since 3 + 2 + 2 + 618 + 0 + 4 + 7 + 8 + 9 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 266686560 + ... + 266698656.

It is an arithmetic number, because the mean of its divisors is an integer number (15605512650).

Almost surely, 2^{3226180478976} is an apocalyptic number.

3226180478976 is a gapful number since it is divisible by the number (36) 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 3226180478976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5992516857600).

3226180478976 is an abundant number, since it is smaller than the sum of its proper divisors (8758853236224).

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

3226180478976 is a wasteful number, since it uses less digits than its factorization.

3226180478976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12201 (or 12175 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 3226180478976 in words is "three trillion, two hundred twenty-six billion, one hundred eighty million, four hundred seventy-eight thousand, nine hundred seventy-six".