3746736 has 150 divisors (see below), whose sum is σ = 12828420. Its totient is φ = 1052352.

The previous prime is 3746711. The next prime is 3746737. The reversal of 3746736 is 6376473.

3746736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a d-powerful number, because it can be written as 3² + 7³ + 4¹⁰ + 6 + 7⁷ + 3¹³ + 6⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 3746736.

It is not an unprimeable number, because it can be changed into a prime (3746737) 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 29 ways as a sum of consecutive naturals, for example, 63475 + ... + 63533.

Almost surely, 2^3746736 is an apocalyptic number.

3746736 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 3746736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6414210).

3746736 is an abundant number, since it is smaller than the sum of its proper divisors (9081684).

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

3746736 is a wasteful number, since it uses less digits than its factorization.

3746736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 71 counting only the distinct ones).

The product of its digits is 63504, while the sum is 36.

The square root of 3746736 is about 1935.6487284629. The cubic root of 3746736 is about 155.3165366272.

The spelling of 3746736 in words is "three million, seven hundred forty-six thousand, seven hundred thirty-six".