3201417252 has 144 divisors (see below), whose sum is σ = 9083954880. Its totient is φ = 942278400.

The previous prime is 3201417211. The next prime is 3201417257. The reversal of 3201417252 is 2527141023.

It is not an unprimeable number, because it can be changed into a prime (3201417257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3899002 + ... + 3899822.

It is an arithmetic number, because the mean of its divisors is an integer number (63083020).

Almost surely, 2^3201417252 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 3201417252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4541977440).

3201417252 is an abundant number, since it is smaller than the sum of its proper divisors (5882537628).

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

3201417252 is a wasteful number, since it uses less digits than its factorization.

3201417252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3201417252 is about 56581.0679644702. The cubic root of 3201417252 is about 1473.8301173891.

Adding to 3201417252 its reverse (2527141023), we get a palindrome (5728558275).

The spelling of 3201417252 in words is "three billion, two hundred one million, four hundred seventeen thousand, two hundred fifty-two".