3217140 has 72 divisors (see below), whose sum is σ = 9952488. Its totient is φ = 840960.

The previous prime is 3217133. The next prime is 3217141. The reversal of 3217140 is 417123.

3217140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 272484 + 2944656 = 522^2 + 1716^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3217141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10834 + ... + 11126.

It is an arithmetic number, because the mean of its divisors is an integer number (138229).

Almost surely, 2^3217140 is an apocalyptic number.

3217140 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 3217140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976244).

3217140 is an abundant number, since it is smaller than the sum of its proper divisors (6735348).

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

3217140 is a wasteful number, since it uses less digits than its factorization.

3217140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 3217140 is about 1793.6387596169. The cubic root of 3217140 is about 147.6238928426.

The spelling of 3217140 in words is "three million, two hundred seventeen thousand, one hundred forty".