3416783916 has 144 divisors (see below), whose sum is σ = 10310415360. Its totient is φ = 872000640.

The previous prime is 3416783899. The next prime is 3416783917. The reversal of 3416783916 is 6193876143.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3416783917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229755 + ... + 244173.

Almost surely, 2^3416783916 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 3416783916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155207680).

3416783916 is an abundant number, since it is smaller than the sum of its proper divisors (6893631444).

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

3416783916 is a wasteful number, since it uses less digits than its factorization.

3416783916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14484 (or 14475 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 3416783916 is about 58453.2626634305. The cubic root of 3416783916 is about 1506.1648382468.

The spelling of 3416783916 in words is "three billion, four hundred sixteen million, seven hundred eighty-three thousand, nine hundred sixteen".