4038216 has 96 divisors (see below), whose sum is σ = 12720960. Its totient is φ = 1040256.

The previous prime is 4038211. The next prime is 4038239. The reversal of 4038216 is 6128304.

4038216 = T₁₁₃ + T₁₁₄ + ... + T₂₉₄.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4038211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93891 + ... + 93933.

It is an arithmetic number, because the mean of its divisors is an integer number (132510).

Almost surely, 2^4038216 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 4038216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6360480).

4038216 is an abundant number, since it is smaller than the sum of its proper divisors (8682744).

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

4038216 is a wasteful number, since it uses less digits than its factorization.

4038216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4038216 is about 2009.5312886342. The cubic root of 4038216 is about 159.2440380515.

The spelling of 4038216 in words is "four million, thirty-eight thousand, two hundred sixteen".