3217705920 has 504 divisors, whose sum is σ = 13095652752. Its totient is φ = 718848000.

The previous prime is 3217705873. The next prime is 3217705921. The reversal of 3217705920 is 295077123.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3217705921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5353620 + ... + 5354220.

It is an arithmetic number, because the mean of its divisors is an integer number (25983438).

Almost surely, 2^3217705920 is an apocalyptic number.

3217705920 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 3217705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6547826376).

3217705920 is an abundant number, since it is smaller than the sum of its proper divisors (9877946832).

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

3217705920 is a wasteful number, since it uses less digits than its factorization.

3217705920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 3217705920 is about 56724.8263108844. The cubic root of 3217705920 is about 1476.3254839957.

The spelling of 3217705920 in words is "three billion, two hundred seventeen million, seven hundred five thousand, nine hundred twenty".