3212112960 has 336 divisors, whose sum is σ = 12729764736. Its totient is φ = 728211456.

The previous prime is 3212112949. The next prime is 3212112961. The reversal of 3212112960 is 692112123.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (3212112961) 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 47 ways as a sum of consecutive naturals, for example, 2761339 + ... + 2762501.

Almost surely, 2^3212112960 is an apocalyptic number.

3212112960 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 3212112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6364882368).

3212112960 is an abundant number, since it is smaller than the sum of its proper divisors (9517651776).

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

3212112960 is a wasteful number, since it uses less digits than its factorization.

3212112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3212112960 is about 56675.5058204159. The cubic root of 3212112960 is about 1475.4696135625.

The spelling of 3212112960 in words is "three billion, two hundred twelve million, one hundred twelve thousand, nine hundred sixty".