3766016 has 36 divisors (see below), whose sum is σ = 7701792. Its totient is φ = 1837056.

The previous prime is 3766013. The next prime is 3766031. The reversal of 3766016 is 6106673.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3766016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3766013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11876 + ... + 12188.

Almost surely, 2^3766016 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 3766016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850896).

3766016 is an abundant number, since it is smaller than the sum of its proper divisors (3935776).

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

3766016 is an equidigital number, since it uses as much as digits as its factorization.

3766016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 3766016 is about 1940.6225805138. The cubic root of 3766016 is about 155.5824908762.

It can be divided in two parts, 376 and 6016, that multiplied together give a square (2262016 = 1504²).

The spelling of 3766016 in words is "three million, seven hundred sixty-six thousand, sixteen".