3845736 has 48 divisors (see below), whose sum is σ = 10757760. Its totient is φ = 1239840.

The previous prime is 3845717. The next prime is 3845741. The reversal of 3845736 is 6375483.

It is a happy number.

3845736 is a `hidden beast` number, since 3 + 84 + 573 + 6 = 666.

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

It is a d-powerful number, because it can be written as 3² + 8³ + 4⁵ + 5⁹ + 7⁵ + 3¹³ + 6⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 3845736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1371 + ... + 3093.

It is an arithmetic number, because the mean of its divisors is an integer number (224120).

Almost surely, 2^3845736 is an apocalyptic number.

3845736 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 3845736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5378880).

3845736 is an abundant number, since it is smaller than the sum of its proper divisors (6912024).

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

3845736 is a wasteful number, since it uses less digits than its factorization.

3845736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1759 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 3845736 is about 1961.0548182037. The cubic root of 3845736 is about 156.6726379697.

The spelling of 3845736 in words is "three million, eight hundred forty-five thousand, seven hundred thirty-six".