3644216784 has 320 divisors, whose sum is σ = 11924236800. Its totient is φ = 1057148928.

The previous prime is 3644216759. The next prime is 3644216803. The reversal of 3644216784 is 4876124463.

3644216784 is a `hidden beast` number, since 364 + 4 + 216 + 78 + 4 = 666.

3644216784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11495794 + ... + 11496110.

It is an arithmetic number, because the mean of its divisors is an integer number (37263240).

Almost surely, 2^3644216784 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 3644216784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5962118400).

3644216784 is an abundant number, since it is smaller than the sum of its proper divisors (8280020016).

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

3644216784 is a wasteful number, since it uses less digits than its factorization.

3644216784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 447 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 3644216784 is about 60367.3486580287. The cubic root of 3644216784 is about 1538.8681152635.

The spelling of 3644216784 in words is "three billion, six hundred forty-four million, two hundred sixteen thousand, seven hundred eighty-four".