3643084016 has 160 divisors (see below), whose sum is σ = 8796103680. Its totient is φ = 1437004800.

The previous prime is 3643084013. The next prime is 3643084031. The reversal of 3643084016 is 6104803463.

It is a super-2 number, since 2×3643084016² = 26544122295269376512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3643084013) 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, 7868201 + ... + 7868663.

It is an arithmetic number, because the mean of its divisors is an integer number (54975648).

Almost surely, 2^3643084016 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 3643084016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4398051840).

3643084016 is an abundant number, since it is smaller than the sum of its proper divisors (5153019664).

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

3643084016 is a wasteful number, since it uses less digits than its factorization.

3643084016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 3643084016 is about 60357.9656383480. The cubic root of 3643084016 is about 1538.7086515334.

Adding to 3643084016 its reverse (6104803463), we get a palindrome (9747887479).

The spelling of 3643084016 in words is "three billion, six hundred forty-three million, eighty-four thousand, sixteen".