3212314560 has 1008 divisors, whose sum is σ = 14798137536. Its totient is φ = 631701504.

The previous prime is 3212314559. The next prime is 3212314571. The reversal of 3212314560 is 654132123.

3212314560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31187469 + ... + 31187571.

It is an arithmetic number, because the mean of its divisors is an integer number (14680692).

Almost surely, 2^3212314560 is an apocalyptic number.

3212314560 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 3212314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399068768).

3212314560 is an abundant number, since it is smaller than the sum of its proper divisors (11585822976).

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

3212314560 is a wasteful number, since it uses less digits than its factorization.

3212314560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3212314560 is about 56677.2843386131. The cubic root of 3212314560 is about 1475.5004809339.

Adding to 3212314560 its reverse (654132123), we get a palindrome (3866446683).

The spelling of 3212314560 in words is "three billion, two hundred twelve million, three hundred fourteen thousand, five hundred sixty".