3416105120 has 96 divisors (see below), whose sum is σ = 8603658000. Its totient is φ = 1277280256.

The previous prime is 3416105113. The next prime is 3416105131. The reversal of 3416105120 is 215016143.

It can be written as a sum of positive squares in 8 ways, for example, as 675792016 + 2740313104 = 25996^2 + 52348^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401066 + ... + 409494.

Almost surely, 2^3416105120 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 3416105120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4301829000).

3416105120 is an abundant number, since it is smaller than the sum of its proper divisors (5187552880).

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

3416105120 is a wasteful number, since it uses less digits than its factorization.

3416105120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8610 (or 8602 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 3416105120 is about 58447.4560609784. The cubic root of 3416105120 is about 1506.0650908036.

The spelling of 3416105120 in words is "three billion, four hundred sixteen million, one hundred five thousand, one hundred twenty".