3686434416 has 240 divisors, whose sum is σ = 12872787200. Its totient is φ = 997691904.

The previous prime is 3686434393. The next prime is 3686434447. The reversal of 3686434416 is 6144346863.

It is a happy number.

It is a super-2 number, since 2×3686434416² = 27179597406938522112, 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 513540 + ... + 520668.

Almost surely, 2^3686434416 is an apocalyptic number.

3686434416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3686434416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6436393600).

3686434416 is an abundant number, since it is smaller than the sum of its proper divisors (9186352784).

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

3686434416 is a wasteful number, since it uses less digits than its factorization.

3686434416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7178 (or 7160 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 3686434416 is about 60716.0144937067. The cubic root of 3686434416 is about 1544.7878226866.

The spelling of 3686434416 in words is "three billion, six hundred eighty-six million, four hundred thirty-four thousand, four hundred sixteen".