3726736 has 80 divisors (see below), whose sum is σ = 8749440. Its totient is φ = 1520640.

The previous prime is 3726733. The next prime is 3726739. The reversal of 3726736 is 6376273.

It is a happy number.

3726736 is nontrivially palindromic in base 9.

3726736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3726733) and next prime (3726739).

It is a super-2 number, since 2×3726736² = 27777122427392, which contains 22 as substring.

Its product of digits (31752) is a multiple of the sum of its prime divisors (98).

It is not an unprimeable number, because it can be changed into a prime (3726731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90876 + ... + 90916.

It is an arithmetic number, because the mean of its divisors is an integer number (109368).

Almost surely, 2^3726736 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 3726736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374720).

3726736 is an abundant number, since it is smaller than the sum of its proper divisors (5022704).

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

3726736 is a wasteful number, since it uses less digits than its factorization.

3726736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 98 counting only the distinct ones).

The product of its digits is 31752, while the sum is 34.

The square root of 3726736 is about 1930.4755890713. The cubic root of 3726736 is about 155.0396846011.

It can be divided in two parts, 3726 and 736, that multiplied together give a square (2742336 = 1656²).

The spelling of 3726736 in words is "three million, seven hundred twenty-six thousand, seven hundred thirty-six".