3414660216 has 128 divisors (see below), whose sum is σ = 9721555200. Its totient is φ = 989972480.

The previous prime is 3414660211. The next prime is 3414660269. The reversal of 3414660216 is 6120664143.

3414660216 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414660211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863155 + ... + 867101.

It is an arithmetic number, because the mean of its divisors is an integer number (75949650).

Almost surely, 2^3414660216 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 3414660216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4860777600).

3414660216 is an abundant number, since it is smaller than the sum of its proper divisors (6306894984).

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

3414660216 is a wasteful number, since it uses less digits than its factorization.

3414660216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4109 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 3414660216 is about 58435.0940445893. The cubic root of 3414660216 is about 1505.8527216211.

The spelling of 3414660216 in words is "three billion, four hundred fourteen million, six hundred sixty thousand, two hundred sixteen".