3933216 has 72 divisors (see below), whose sum is σ = 12789504. Its totient is φ = 1123200.

The previous prime is 3933203. The next prime is 3933221. The reversal of 3933216 is 6123393.

It is a tau number, because it is divible by the number of its divisors (72).

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 3933216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1041 + ... + 2991.

It is an arithmetic number, because the mean of its divisors is an integer number (177632).

Almost surely, 2^3933216 is an apocalyptic number.

3933216 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 3933216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6394752).

3933216 is an abundant number, since it is smaller than the sum of its proper divisors (8856288).

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

3933216 is a wasteful number, since it uses less digits than its factorization.

3933216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1963 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 3933216 is about 1983.2337229888. The cubic root of 3933216 is about 157.8517008325.

The spelling of 3933216 in words is "three million, nine hundred thirty-three thousand, two hundred sixteen".