3766336 has 42 divisors (see below), whose sum is σ = 8701278. Its totient is φ = 1612800.

The previous prime is 3766331. The next prime is 3766349. The reversal of 3766336 is 6336673.

It can be written as a sum of positive squares in only one way, i.e., 1960000 + 1806336 = 1400^2 + 1344^2 .

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3766331) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2536 + ... + 3736.

Almost surely, 2^3766336 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 3766336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4350639).

3766336 is an abundant number, since it is smaller than the sum of its proper divisors (4934942).

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

3766336 is a wasteful number, since it uses less digits than its factorization.

3766336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1210 counting only the distinct ones).

The product of its digits is 40824, while the sum is 34.

The square root of 3766336 is about 1940.7050265303. The cubic root of 3766336 is about 155.5868973884.

The spelling of 3766336 in words is "three million, seven hundred sixty-six thousand, three hundred thirty-six".