3211456560 has 160 divisors (see below), whose sum is σ = 10924175808. Its totient is φ = 775557120.

The previous prime is 3211456559. The next prime is 3211456579. The reversal of 3211456560 is 656541123.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 155650 + ... + 175070.

Almost surely, 2^3211456560 is an apocalyptic number.

3211456560 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 3211456560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5462087904).

3211456560 is an abundant number, since it is smaller than the sum of its proper divisors (7712719248).

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

3211456560 is a wasteful number, since it uses less digits than its factorization.

3211456560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19503 (or 19497 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 3211456560 is about 56669.7146631250. The cubic root of 3211456560 is about 1475.3691019216.

Adding to 3211456560 its reverse (656541123), we get a palindrome (3867997683).

The spelling of 3211456560 in words is "three billion, two hundred eleven million, four hundred fifty-six thousand, five hundred sixty".