3782016 has 144 divisors (see below), whose sum is σ = 12848940. Its totient is φ = 1064448.

The previous prime is 3782011. The next prime is 3782021. The reversal of 3782016 is 6102873.

It is an interprime number because it is at equal distance from previous prime (3782011) and next prime (3782021).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3782011) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56415 + ... + 56481.

Almost surely, 2^3782016 is an apocalyptic number.

3782016 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 3782016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6424470).

3782016 is an abundant number, since it is smaller than the sum of its proper divisors (9066924).

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

3782016 is a wasteful number, since it uses less digits than its factorization.

3782016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 3782016 is about 1944.7405996688. The cubic root of 3782016 is about 155.8025114356.

Adding to 3782016 its reverse (6102873), we get a palindrome (9884889).

The spelling of 3782016 in words is "three million, seven hundred eighty-two thousand, sixteen".