3409122312 has 96 divisors (see below), whose sum is σ = 9361497600. Its totient is φ = 1120670208.

The previous prime is 3409122271. The next prime is 3409122323. The reversal of 3409122312 is 2132219043.

It is a happy number.

3409122312 is a `hidden beast` number, since 340 + 9 + 1 + 2 + 2 + 312 = 666.

It is a super-2 number, since 2×3409122312² = 23244229876352450688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1813389 + ... + 1815267.

It is an arithmetic number, because the mean of its divisors is an integer number (97515600).

Almost surely, 2^3409122312 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 3409122312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4680748800).

3409122312 is an abundant number, since it is smaller than the sum of its proper divisors (5952375288).

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

3409122312 is a wasteful number, since it uses less digits than its factorization.

3409122312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3409122312 is about 58387.6897299422. The cubic root of 3409122312 is about 1505.0382159735.

The spelling of 3409122312 in words is "three billion, four hundred nine million, one hundred twenty-two thousand, three hundred twelve".