4347934416 has 320 divisors, whose sum is σ = 15299020800. Its totient is φ = 1153972224.

The previous prime is 4347934411. The next prime is 4347934429. The reversal of 4347934416 is 6144397434.

It is a super-2 number, since 2×4347934416² = 37809067371674522112, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4347934411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4266355 + ... + 4267373.

It is an arithmetic number, because the mean of its divisors is an integer number (47809440).

Almost surely, 2^4347934416 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 4347934416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7649510400).

4347934416 is an abundant number, since it is smaller than the sum of its proper divisors (10951086384).

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

4347934416 is a wasteful number, since it uses less digits than its factorization.

4347934416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1131 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 4347934416 is about 65938.8687801057. The cubic root of 4347934416 is about 1632.1534782131.

The spelling of 4347934416 in words is "four billion, three hundred forty-seven million, nine hundred thirty-four thousand, four hundred sixteen".