3217146880 has 88 divisors (see below), whose sum is σ = 8123806080. Its totient is φ = 1219092480.

The previous prime is 3217146869. The next prime is 3217146883. The reversal of 3217146880 is 886417123.

It is a super-3 number, since 3×3217146880³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3217146883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80745 + ... + 113815.

Almost surely, 2^3217146880 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 3217146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4061903040).

3217146880 is an abundant number, since it is smaller than the sum of its proper divisors (4906659200).

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

3217146880 is a wasteful number, since it uses less digits than its factorization.

3217146880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33115 (or 33097 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 3217146880 is about 56719.8984484281. The cubic root of 3217146880 is about 1476.2399807603.

The spelling of 3217146880 in words is "three billion, two hundred seventeen million, one hundred forty-six thousand, eight hundred eighty".