3312105742660 has 96 divisors (see below), whose sum is σ = 8173050262272. Its totient is φ = 1111531921920.

The previous prime is 3312105742637. The next prime is 3312105742727. The reversal of 3312105742660 is 662475012133.

It is a happy number.

It is a super-2 number, since 2×3312105742660² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14406169 + ... + 14634271.

It is an arithmetic number, because the mean of its divisors is an integer number (85135940232).

Almost surely, 2^{3312105742660} 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 3312105742660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4086525131136).

3312105742660 is an abundant number, since it is smaller than the sum of its proper divisors (4860944519612).

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

3312105742660 is a wasteful number, since it uses less digits than its factorization.

3312105742660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233213 (or 233211 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 3312105742660 in words is "three trillion, three hundred twelve billion, one hundred five million, seven hundred forty-two thousand, six hundred sixty".