3744216 has 192 divisors, whose sum is σ = 13478400. Its totient is φ = 912384.

The previous prime is 3744187. The next prime is 3744217. The reversal of 3744216 is 6124473.

3744216 is a nontrivial binomial coefficient, being equal to C(2737, 2).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3744216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3744217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162781 + ... + 162803.

It is an arithmetic number, because the mean of its divisors is an integer number (70200).

Almost surely, 2^3744216 is an apocalyptic number.

3744216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3744216 is the 2736-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3744216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739200).

3744216 is an abundant number, since it is smaller than the sum of its proper divisors (9734184).

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

3744216 is a wasteful number, since it uses less digits than its factorization.

3744216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 71 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 3744216 is about 1934.9976744172. The cubic root of 3744216 is about 155.2817076050.

Adding to 3744216 its reverse (6124473), we get a palindrome (9868689).

It can be divided in two parts, 37 and 44216, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 3744216 in words is "three million, seven hundred forty-four thousand, two hundred sixteen".